The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A. p=4x+50
B. p-450=4(x-5)
C. p-15=4(x-450)
D. p=4x+15
An equation that gives the city's population p (in thousands of people) x years after 2010 will be D. p = 4x + 15.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this situation, the population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people.
p = 450
4x + 15 = 450
4x = 435
Divide.
x = 108.75
Substituting the answer to check will be:
p = 4(108.75) + 15
p = 450
The correct option is D.
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The equation that gives the city's population x years after 2010 is p = 4x + 390.
Explanation:To find an equation for the city's population x years after 2010, we need to determine the initial population in 2010 and the rate at which the population is increasing. Since the population is increasing by 4000 people each year, that means the population will increase by 4 people for every 1 year. We can represent this with the equation p = 4x + p0, where p is the population x years after 2010 and p0 is the population in 2010. Given that the population in 2025 is projected to be 450,000 people, we can substitute x = 15 into the equation and solve for p0:
p = 4(15) + p0
450 = 60 + p0
p0 = 450 - 60
p0 = 390
Therefore, the equation that gives the city's population p (in thousands of people) x years after 2010 is p = 4x + 390. So, the correct answer is option A: p = 4x + 390.
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The correct equation that gives the city's population 'p' (in thousands of people) 'x' years after 2010 is 'p-450 = 4(x - 15)', option B.
Explanation:The problem can be solved by understanding the concept of linear equations. Since the population is growing steadily by 4000 each year, we can say that the rate of change is constant, which implies linear growth. The population in 2010 forms the base value and the annual increase forms the slope.
The year 2025 corresponds to 15 years after 2010 and at that point the population is projected to be 450,000 (or 450 based on the problem's notation of thousands of people). Therefore, for each year after 2010, the population increases by 4 (thousands of people). Consequently, the equation which represents this situation would be:
p = 4x + 450
But, since the question has given options that are in the format of p in terms of (x-15), we subtract 15 from each side to put the equation in the given format:
p-450 = 4(x - 15)
So, the correct answer is B.
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Pls hellllloopppppppp
I am climbing up a mountain that has a lake at the bottom. The lake is 100 feet deep. If I have climbed one third of the way up the mountain and I am currently at 220 feet above lake level, what is the elevation change from the bottom of the lake to the top of the mountain?
The total elevation change from the bottom of the lake to the top of the mountain is 760 feet. This calculation comes from multiples and subtraction.
Explanation:You've got a neat problem here involving subtraction and multiplication. It's all to do with altitude and elevation change. You have climbed one-third of the way up the mountain and are currently 220 feet above lake level. This means that a third of the mountain's height from the lake's surface is 220 feet. To find the total height from the lake to the top of the mountain, we can do a simple multiplication:
1. 3 (representing the whole mountain) × 220 feet (one-third of it) = 660 feet.
However, you asked for the elevation change from the bottom of the lake to the top of the mountain. The lake is 100 feet deep, so we add this to our total:
2. 660 feet (mountain height) + 100 feet (lake depth) = 760 feet.
So, the elevation change from the bottom of the lake to the top of the mountain is 760 feet.
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The total elevation change from the bottom of the lake to the top of the mountain is 760 feet.
Explanation:To answer the question, we need to understand that if the student is already 220 feet above the lake, and this represents one third of the way up the mountain, we can use this information to find the total elevation change from the lake bottom to the top of the mountain. We first need to calculate how high the mountain is above the lake by dividing 220 feet by one third (or 0.33), which gives approximately 660 feet. However, this does not include the depth of the lake. As the lake is 100 feet deep, we need to add this to our previous value to get the total elevation change. This gives us an elevation change of 660 feet + 100 feet = 760 feet from the bottom of the lake to the top of the mountain.
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6,174,798,604 as an integer
You buy two picture frames that are similar. The ratio of the corresponding side lengths is 4:5. What is the ratio of the areas?
Let us call the frames A and B
The two sides of A are Ax and Ay
The two sides of B are Bx and By
Bx 4
---- = ----
Ax 5
Bx = (4*Ax)/5
As they are similar: By = (4*Ay)/5
Area of A = Ax*Bx
Area of B = Ay*By = (16*Ax*Ay)/25
Area of B 16
----------- = -------
Area of A 25
Use any model you choose to solve the story problem.
Robbie distributed of his income in equal amounts among 6 bank accounts.
What fraction of his income is in each of the accounts?
A. 1/6
B. 1/24
C. 3/2
D.24/1
Which of the following relations is not a function?
A. (-7, 4), (2, 3), (-1, 1), (7, 2)
B. (7, 4), (-1, 2), (2, 1), (-7, 2)
C. (2, 4), (-1, 2), (2, 1), (-7, 2)
D. (-1, 4), (2, 2), (7, 1), (-7, 5)
Answer:
The answer is c.
Step-by-step explanation:
What is the answer to this question
which set of numbers is arranged in order from least to greatest?
a. 0.35, 1/5,2/3,-0.7
b. -0.7, 0.35, 1/5, 2/3
c. -0.7, 1/5, 0.35, 2/3
d. 1/5, 0.35, 2/3, -0.7
on Saturday, Lindsay walked 3.1/2 miles in 1.2/5 hours.What was her walking pace in miles per hour? Write in simplest form
Ken, a meteorologist, is predicting next year’s temperatures in New York City. He predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September. Use the number line interactive tool to determine Ken’s temperature prediction for September. Ken’s predicted temperature for September is
Answer:
the answer is 16 c:
Step-by-step explanation:
c- 14b=
if c equals -7 and b equals 1/7
The Olympic record for mens 50meter freestyle is 21.3 seconds. a. express the speed in meters per second b. At this rate how many meters could be swum in 1 minute
plz help me ill thank you
Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she bake
divide. write in smplest form 1 4/9÷1/3
Write a number with the digit 5 in the ones place.
a store has 30 boxes of melon each box has 4 bags each bag holde 2 melons what is the total number of melon in the store?
how do you divide 32 by 3,072 in long division
the actual distance between 2 cities is 135 km. the map scale is 1 cm : 100 km. find the map distance
Answer:
1.35
Step-by-step explanation:
Jessie and Nathan went out to eat. Their lunch cost $17.98. If they give the waitress a 17% tip, how much was their total cost?
find the area of the large rectangle by multiplying the number of rows by the number of squares in each row.
The area of a rectangle is calculated by multiplying the number of rows by the number of squares in each row, which represents the length and breadth respectively.
Explanation:The area of a rectangle can be calculated by multiplying the number of rows by the number of squares in each row. This corresponds to the multiplication of the length (number of squares in each row) and the breadth (number of rows). For example, if you have a rectangle made up of 4 rows and each row consists of 5 squares, the area would be 4 rows * 5 squares per row = 20 squares.
In real-life applications, for instance, if calculating the area of a floor that is 12.0 m², and the uncertainty is 3 percent (expressed as an area this is 0.36 m² - rounded to 0.4 m² assuming measured to a tenth of a square meter). Therefore, understanding the concept of calculating area is highly important.
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What is the value of the function at x = 2?
What is 10 times as much than 0.84
Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
12/17 as a decimal, rounded to the nearest thousandth, is 0.706, obtained by dividing 12 by 17 and rounding up due to the fourth decimal place being greater than 5.
Explanation:To convert the fraction 12/17 to a decimal, divide 12 by 17. Upon doing this calculation, we get approximately 0.7058823529411765. Now, to round this to the nearest thousandth, we look at the fourth decimal place, which in this case is an '8'. Therefore, we round up the third decimal place from '5' to '6', giving us 0.706 as the final answer, rounded to the nearest thousandth.
What is the constant of variation for this relationship?
xy = –12
–1.2
–0.12
–12
-1/4
what is the area of a trapezoid with the base 6cm and 3 cm and a height of 3cm
Write a phrase for each algebraic expression 8y
The phrase for the algebraic expression 8y is 'eight times the variable y'. It represents a multiplication of the variable y by 8.
The algebraic expression 8y can be represented by the phrase 'eight times the variable y'. This type of question involves translating algebraic expressions into verbal phrases, which is important in understanding and communicating mathematical concepts clearly. The expression consists of a constant multiplier, 8, and a variable, y, indicating that y is to be multiplied by 8.
3 friends want to share 4 granola bars evenly. How much would each friend get? Show your answer in 2 different ways.
Manuel is putting money into a savings account. He starts with
$350 in the savings account, and each week he adds
$30. Let S represent the total amount of money in the savings account (in dollars), and let
W represent the number of weeks Manuel has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after
19 weeks.
bonnie has set of 40 tiles that she bought while traveling in South Africa. What is the largest frame size (on each side) that she can make with these. tiles? Will she use all of her tiles?
Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.
Explanation:To find the largest frame size that Bonnie can make with her 40 tiles, we need to determine the factors of 40. A factor is a number that divides evenly into another number. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.
To create a frame, Bonnie needs two sides with lengths that multiply to give 40. The largest frame size will have sides of length 20 and 2, which can be achieved by placing the tiles in a rectangular shape.
Therefore, Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.