does it matter what interval you use when you find the rate of change of a proportional relationship? Explain.

Answers

Answer 1
It does not matter what interval you use because it is a proportional relationship and the rate of change is constant.
Answer 2
Final answer:

The interval you use when finding the rate of change of a proportional relationship does matter because the behavior of the relationship could vary within different intervals. To illustrate this, consider a proportional relationship where y is directly proportional to x. If we calculate the rate of change for different intervals, we might get different results. Therefore, it is important to specify the interval when finding the rate of change to accurately represent the behavior of the relationship within that interval.

Explanation:

The interval you use when finding the rate of change of a proportional relationship does matter. The rate of change represents how a quantity changes with respect to another quantity. If you use different intervals, you may get different rates of change because the behavior of the relationship could vary within different intervals. Let me provide an example to illustrate this:

Suppose we have a proportional relationship where y is directly proportional to x:

y = kx

If we calculate the rate of change for different intervals, we might get different results. For example, if we consider the interval from x = 1 to x = 5, the rate of change would be (y2 - y1) / (x2 - x1) = (5k - k) / (5 - 1) = 4k / 4 = k. However, if we consider the interval from x = 3 to x = 7, the rate of change would be (y2 - y1) / (x2 - x1) = (7k - 3k) / (7 - 3) = 4k / 4 = k. In both cases, the rate of change is the same within each interval, but it may differ between intervals.

Therefore, it is important to specify the interval when finding the rate of change of a proportional relationship to accurately represent the behavior of the relationship within that interval.


Related Questions

-2 times g(4) when g(x) =-x squared+(4x)-11

Answers

Answer:

+22

Step-by-step explanation:

Given g(x) = -x^2 + 4x - 11, g(4) is -(4)^2 + 4(4) - 11, or just -11.

Then -2 times g(4) = -2(-11) = +22

Solve for x.

−x/2<−1

Enter the solution to the inequality in the box.

Answers

I believe it is x>-2

Remark

You have to be awfully careful with this inequality. If can cause you all kinds of grief.

The easiest way to do this is to begin by dividing by - 1. What that does is turn the inequality

from (-x/2) < - 1 to

x /2 > 1

The rule is when you divide by a negative, that turns the < sign to > or the other way around ie > to <.  You could actually show  that happening.

Start with your given

-(x / 2) < - 1                      Add 1 to both sides.

-(x / 2) + 1 < - 1 + 1           The 1 and - 1 cancel on the right.

-(x/2) + 1 < 0                    Add x/2 to both sides

-(x/2) + x/2 + 1  <  x/2      Add the like terms on the left.

1 < x/2                             Which is exactly what we predicted would happen

                                      Multiply by 2

2*1 < (x/2) * 2

2 < x

What is 20% as a decimal

Answers

Answer is 0.2

To fnid the decimal, dovide the percentage by 100. 20/100 is 0.2.


I hope youre still around to read this

The correct answer is:  " 0.2 " .

_____________________________________

20 % =  20/ 100 = 2/10 = 0.2 .

____________________________________



solve for x: 27=17+2x

Answers

Hello!

Here's how to solve for x.

27=17+2x

Our first step is to subtract 17 from both sides, leaving us with

27-17=17(-17)+2x --- > 10=2x

We then divide both sides by 2 to isolate  x!

10/2=2x/2

10 divided by 2 gives us 5 meaning that x=5


[tex]x = 5[/tex]
move variable to left side and change its sign
[tex]27 = 17 + 2x[/tex]
to
(you also move the constant to the right and change its sign)
[tex] - 2x = 17 - 27[/tex]
and then calculate the operation in this case you find the difference
[tex] - 2x= 17 - 27 = - 10 \\ - 2x = - 10[/tex]
you then divide both sides of the equation by -2 since the inverse operation of multiplying is division
[tex]x = 5[/tex]
:) hope that helps

Mason is skiing with friends he starts at an elevation of 420 feet he descends 600 feet down the mountain into a valley what is his elevation when he stops

Answers

420-600=-180 Hope this helps

Mason's ending elevation after descending 600 feet from a starting elevation of 420 feet is -180 feet, meaning he is below sea level.

To solve for Mason's elevation after his descent, we need to subtract the distance he traveled downward (600 feet) from his starting elevation (420 feet). We can represent this mathematically as:

Elevation after descent = Starting elevation - Descent

Elevation after descent = 420 feet - 600 feet

Elevation after descent = -180 feet

Therefore, when Mason stops, he is at an elevation of -180 feet. This means he is 180 feet below sea level, assuming the initial elevation is measured from sea level.

7 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 63 hot dogs are sold?

Answers

90 is the answer i did the math


Twelve less than the one fifth of a number is -7

Answers

I’m confused, is this an answer or a question?

3x-2y=18 solve x and y intercepts

Answers

The answer will be for x-intercept is (6,0)

And the y-intercept to be (0,-9)

Multiply.

​ 14⋅25 ​

Express your answer in simplest form.



29
320
13
110

Answers

Final answer:

To multiply 14 by 25, you multiply each digit of 25 by 14 individually and then sum the results, yielding a product of 350.

Explanation:

The student has asked to multiply 14 by 25 and express the answer in simplest form. Multiplication is a basic arithmetic operation, and it is a straightforward process. To multiply 14 by 25, you can use the following steps:

Multiply the ones digit of the second number by the first number: 5 x 14 = 70.

Multiply the tens digit of the second number by the first number: 2 x 14 = 28. Remember that since this 2 represents 20 in the number 25, the result (28) will actually represent 280 when you include it in the final answer.

Add the results from steps 1 and 2: 70 + 280 = 350.

Thus, the product of 14 and 25 is 350.

the angles of a triangle are in the ratio 4:5:9.Find the size of each angle.
PLZ HELP

Answers

40°, 50° and 90°

the sum of the angles in a triangle = 180°

sum the parts of the ratio : 4 + 5 + 9 = 18 parts

divide 180 by 18 to obtain 1 part

[tex]\frac{180}{18}[/tex] = 10° ← 1 part

4 parts = 4 × 10 = 40°

5 parts = 5 × 10 = 50°

9 parts = 9 × 10 = 90°



Select true or false to tell whether the following conjunctions are true or false. Use the truth table if needed. A square root of 16 is 4 and the only square root of 9 is -3. True False

Answers

the 1st one is true but the 2nd one is not true


Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them. How much money does Liam have left?

Answers

Answer:

250-p/24

Step-by-step explanation:

the amount of money Liam starts with= 250

Amount Liam on the present= p/24

Franceca has five more pineapples than filip. If Francesca has f pineapples, write an expression for the number of pineapples filip has

Answers

Five less then f

f-5

Final answer:

The expression for the number of pineapples Filip has, given that Francesca has 'f' pineapples and that she always has 5 more than Filip, is 'f - 5'. This algebraic expression signifies that Filip will always have five less than whatever amount Francesca has.

Explanation:

The subject of your question relates to algebraic expressions, which is an essential concept in Mathematics. To create an expression that represents the number of pineapples that Filip has, we need to understand the relationship provided in the question, which is that Francesca has five more pineapples than Filip. If Francesca has 'f' pineapples, we can express the number of pineapples Filip has as 'f - 5' because Filip will always have five less than whatever amount Francesca has.

Here's why that is: Let's say Francesca has 10 pineapples. According to the question, Filip would have 10 (Francesca's pineapples) - 5 (since he has 5 less) = 5 pineapples. No matter how many pineapples Francesca has, if you subtract five from it, you get the number of pineapples that Filip has.

This example demonstrates how algebraic expressions are used to represent relationships or scenarios mathematically. Remember, 'f - 5' is the simplified form of the expression, and it illustrates the consistent difference of 5 pineapples between Francesca and Filip.

Learn more about Algebraic Expressions here:

https://brainly.com/question/953809

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A two person relay race consists of eight times around a football field. Juan runs four and one-sixth times around and Antonio runs three and two-thirds times around the field. What are the distances they ran as improper fractions?
A. Juan: 11/3 ; Antonio:25/6
B. Juan: 3 2/3 ; Antonio:4 1/6
C. Juan: 4 1/6 ; Antonio: 3 2/3
D. Juan: 25/6 ; Antonio: 11/3

Answers

Answer:

Option D is correct.

Step-by-step explanation:

Given:

Distance Juan runs around a football field = [tex]4\frac{1}{6}\:times[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}\:times[/tex]

We need to find the distance they run in improper fraction.

We are given Distance in Mixed fraction. So we convert the distance in improper fraction.

Distance Juan runs around a football field = [tex]4\frac{1}{6}=\frac{4\times6+1}{6}=\frac{25}{6}[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}=\frac{3\times3+2}{3}=\frac{11}{3}[/tex]

Therefore, Option D is correct.

A recipe that serves four calls for 2 1/4 cups of butter. How many cups of butter are needed to serve ten?

Answers


[tex]5 \frac{5}{8} [/tex]

5 5/8 cups, 8 people 4 1/2 cups, 2 people 1 1/8 cups, 4 1/2 = 4 4/8

4 4/8  + 1 1/8= 5 5/8


Find the mean of the calories burned in the activities listed in the table.

110

450

474

600

802

Answers

487.2

Find mean by adding all numbers together and then dividing by the number of numbers

Answer:

The answer is 474 :))

How many solutions does this system of equations have? -x+2y=6 -x+2y=0 A. none B. exactly one C. exactly two D. infinitely many

Answers

i think the answer is going to be d

The system of equations has no solutions because the equations represent the same line and lines are parallel. Therefore, option a is the correct answer.

Let's analyze the system of equations:

−x+2y=6

−x+2y=0

Both equations have the same coefficients for x and y, which means they represent parallel lines.

However, they also have different constants on the right-hand side (6 and 0).

The system of equations is inconsistent because parallel lines with different y-intercepts do not intersect.

Therefore, there are no solutions.

The correct answer is: A. None

Use the equation y = 4x to answer the questions.

(a) Graph y = 4x. (b)

What is the slope of y = 4x and what does this mean?

Answers

The slope is 4 or you can think of it as 4/1 if that helps. Remember slope intercept form is y=mx+b.
Slope intercept form, y=mx+b, means that the line y, is represented by a slop m, and a y intercept b. So y=4x means that it has a slope of 4 and goes through the origin, since there is no y intercept. To graph, you would place a point on (0,0) and move over one unit, up 4 (because slope is represented by the rise/run) :)

Please need help on this one

Answers

the answer is a because you just take the points and switch them

The answer would be

A: (-2,5)

Hope this helped

Give me a short answer please and make sure ur right THANKS!

Answers

Don't you just add them together to get -33x^3?

it is
[tex]{ - 33z}^{3} [/tex]
as it has the same variable and you are just adding two negatives

Jadyn prepares a bag of candy before a road trip. The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids. Of the candy, 1/2 are Skittles, 1/4 of the remaining pieces are M&Ms and 3/4 of the rest are Life Savers. The remaining pieces are Sour Patch Kids. What percent of the total pieces of candy are Sour Patch Kids?

Answers

Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.

Let the total number of candies in the bag be = x

Then, Skittles are [tex]\frac{1x}{2}[/tex]

Candies left = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]

M&Ms are = [tex]\frac{1x}{8}[/tex]

Now remaining candies are= [tex]\frac{3x}{8}[/tex]

Now Life savers are = [tex]\frac{9x}{32}[/tex]

Now adding all these 3 candies

[tex]\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}[/tex]

=[tex]\frac{29x}{32}[/tex]

Now the remaining candies sour patch will be =

[tex]x-\frac{29x}{32} =\frac{3x}{32}[/tex]

Hence, sour patch kids are [tex]\frac{3}{32}[/tex]

what is the area of this Square

Answers

5*5= 25 square kilometers

The answer is 5x5 so it is 25km squared.

find the inverse of y=-12x+7

Answers

You want to solve for x here.

When finding the inverse of a function, you might get this form of the equation:
f(x) = -12x + 7
And you would have to change the f(x) into a (y). However, this equation already has y in place of f(x), so you can just get started!

To find the inverse you want to solve for x, and, thus, you must ISOLATE x from every other term and variable.

1) (subtract 7 from each side)
y - 7 = -12x

2) (divide -12 from each side)
(y/-12) + (7/12) = x

Now that x is now isolated, you have your answer. Your teacher, however, might want you to change the (y)s in your answer to (x)s.

So the inverse of y = -12x + 7 is
(y/-12) + (7/12)

OR (if your teacher wants you to change your (y)s to (x)s in your inverse solution (which they probably do)):

The inverse of y = -12x + 7 is
(x/-12) + (7/12)
Final answer:

The inverse of the equation y = -12x + 7 is found by replacing 'y' with 'x' and 'x' with 'y', then solving the equation for y. The result is y = 1/12x - 7/12.

Explanation:

The equations y = -12x + 7 is given, and you are asked to find the inverse of this equation. The first step to finding the inverse of a function is to replace 'y' with 'x' and 'x' with 'y'. So, our equation becomes x = -12y + 7. Now, you need to solve this equation for y to find the inverse function. You do this by subtracting 7 from both sides then dividing by -12, which yields: y = (-x + 7) / -12 or y = 1/12x - 7/12. This is the inverse of the given function.

Learn more about Inverse Function here:

https://brainly.com/question/35491336

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Number d I need help with

Answers

Answer:

15 5/9 °C

Step-by-step explanation:

Put 60 where F is in the equation and do the arithmetic.

... C = (5/9)(60 -32) = (5/9)(28) = 140/9

... C = (135 +5)/9 = 15 5/9

Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?

Answers

Answer:

0.85(x - 350)

Step-by-step explanation:

Here "x" represents the pay before tax.

Take exempted amount = 350.

The taxable amount = x - 350.

The tax rate = 15% = 15/100 = 0.15

Take home pay after the tax deduction = Taxable amount - tax

= (x - 350) - 0.15(x - 350)

Now we have to simplify this.

= (x - 350)(1 - 0.15)

= (x - 350)(0.85)

The employee’s take-home pay after these deductions= $0.85(x - 350).

Thank you.

Answer:

The answer is option C

Step-by-step explanation:

842.72+412.38+1/8+1/2=

Answers

the answer will be 1255.725

For this case, we have the following expression:


[tex]x = 842.72+412.38+\frac{1}{8} +\frac{1}{2}[/tex]

We want to find the value of x


Simplifying we have to:


[tex]\frac{1}{8} = 0.125\\\\\frac{1}{2} = 0.5\\[/tex]

Therefore:


[tex]x = 842.72 + 412.38 + 0.125 + 0.5\\\\x = 1255.725\\[/tex]

Answer:


The value of the variable x is given by:


[tex]x = 1255.725[/tex]

What is 0.98 times 7.3

Answers

7.154 is your answer to 0.98 times 7.3

Hello there.

This question is so easy to me.

[tex]0.98*7.3[/tex]

Explanation:

↓↓↓↓↓↓

Multiply without the decimal points, then you put in the decimal point in your answer.

[tex]98*73=7154[/tex]

0.98 it can also has two decimal places.

7.3 it can also has one decimal place.

Therefore, your answer it has three decimal places.

Answer⇒⇒7.154

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Help me please on a math question?:)

What are the steps for using a compass and straightedge to construct the bisector of ∠A?

Image posted below
Drag the steps and drop them in order from start to finish.

1. Place the point of the compass on point B and draw an arc in the interior of the angle.
2. Without changing the opening of the compass, place the point of the compass on point C and draw another arc in the interior of the angle.
3. Use the straightedge to draw AD−→−.
4. Place the point of the compass on point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points B and C.
5. Label the intersection of the arcs in the interior of the angle as point D.

Answers

In order to construct the bisector of ∠A using a compass the steps are as following :

1) Place the point of the compass on point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points B and C.

2) Place the point of the compass on point B and draw an arc in the interior of the angle.

3) Without changing the opening of the compass, place the point of the compass on point C and draw another arc in the interior of the angle.

4)  Label the intersection of the arcs in the interior of the angle as point D.

5) Use the straightedge to draw AD−→−.

The Convention Society Brought and planted 45 cherry trees.Each Tree Cost $367.Which was the total cost of planting the trees?

Answers

$16,515

367×45= 16, 515

unit price for plant 367

no of Cherry plants 45

total amount $16515

So,

45 * 367 = 16515

Ans: $16515

A pineapple is 7 times as heavy as an orange. the pineapple also weighs 870 grams more than the orange. what is the total weight in grams for the pineapple and orange

Answers

Let's translate each sentence into "Math".

Pineapple = p

Orange = x

is means equal

 

Pineapple is 7 times as heavy as an orange:  p = 7x

Pineapple weighs 870 grams more than orange. p = 870 + x

 

Substitute  p = 7x  into the second equation:

7x = 870 + x

Subtract  x from both sides

6x = 870

divide by 6

x = 145

 

The orange weighs 145 grams.

The pineapple weights 7 times the orange = 7(145) = 1015 grams.

The orange weighs 145 grams.

The pineapple weights 7 times the orange = 7(145) = 1015 grams.

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