The population of Austin, Texas in 1980 was 346,000 people. The population in 1990 was 472,000 people. What is the rate of change of the population with respect to the year for this function?

Answer:

12.6 thousand a year

Step-by-step explanation:

take the 346 add 126 thousand to it equaling a good 472 thousand divide 126 thousand by 10 cause it is a ten year span that equals you get 12.6 thousand.

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We want to find the rate of change of the population of Austin, Texas in the years between 1980 and 1990.

The answer is: r = 12,600 people/year.

We will assume that this increase in population is modeled with a linear equation, remember that a general linear equation is:

y = a*x + b

Where the rate of change, or slope, is a.

We know that if a line passes through two points (x₁, y₁) and (x₂, y₂) the slope is given by the formula:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For this case we have two points, these are:

(1980, 346,000)

(1990, 472,000)

Then the slope or rate of change is just:

[tex]a = \frac{472,000 - 346,000}{1990 - 1980} = 12,600[/tex]

To be complete we need to add the correspondent units, which are people per year.

Then the rate of change is:

r = 12,600 people/year.

If you want to learn more, you can read:

https://brainly.com/question/18904995

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Out of every 8 loaves of bread that Markelle bakes, 5 of them are pumpkin bread.

At this rate, how many loaves of pumpkin bread would he have if he baked a total of 40 loaves of bread?

Look at the chart and answer the question. Which country has about four times as much helium as Canada?

what is the distance between X(-3,4) and Y(2,1)
A. 2.8
B. 5.8
C. 4.0
D. 3.2
I think it's B but I need to know if it's right.

Bobby Joe made a mistake on his assignment on Combining Like Terms. Can you help Bobby Joe? For full points on this question:

Tell me what he did RIGHT!

Tell me the mistake that Bobby Joe made

Tell me the correct way to combine like terms in this expression

6x + 5x + 2y
11x + 2y
13xy

Find the value of x in each pair of similar figures. Use proportions to solve.

Helpp A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

PLEASE SOLVEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!

Please help. and put a explanation because I need it lol (if you can )

(PLEASE ANSWER)
You have 2 different savings accounts. For Account​ A, the simple interest earned after 3 months is $0.90. For Account​ B, the simple interest earned after 18 months is $22.50. If the interest rate is 3.6%for Account A and 2.5% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.

Account A has a principal of ​$BLANK. (Round to the nearest dollar as​ needed.)

I NEED HELP THIS IS DUE IN AN HOUR!!!!!

$7.50 meal; 6.5% tax _____

3. Damien paints 1/5 of a room in 5/12 hours what unit rate describes this situation

please help i don't understand. will mark brainliest. answer both questions

If m = -4 and n = 7, what is the value of m - n?

11
-3
-11
3

Which equation has the solution x = 5?


Select EACH correct answer.


25x+4=9

3x + 1 = 9

x5+5=6

18−2x=9

11 + 6x = 22

32−4x=12

Henry divided his socks into five groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s=20?

A. S/5; when s=20, the number of socks in each group is 4.

B. S/5; when s=20, the number of socks in each group is 15.

C. S-5; when s=20, the number of socks in each group is 4.

D. s-5; when s=20, the number of socks in each group is 15.

GUYS HELP I WILL GIVE BRAINLYIST
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The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable

Rodrick and Valentina drove to the coast. Rodrick drove 38 9−− 10miles. Then Valentina drove the last 51 3− 5miles. How far did they drive to the coast?

David moved from a house that is 89 miles away from his workplace to a house that is 51 miles away from his workplace. What is the percent decrease in the distance from his home to his workplace? (round answer to the nearest whole number

Please help this is due tmr, Don't answer the question if you have no answer or ideas. Im not trying to be rude but I really just need help. :(

Think about how you can use absolute value notation to express the distance between two points on a coordinate graph. For each pair of points below, find the distance between the given points and express your work using absolute value symbols. Explain or Show your work.


1. (4, 9) and ( –5, 9)

2. (7, –1) and (7, –4)

3. (0, 9) and (0, –7)

4. (4, –8) and (–10, –8)

answer the following: 5 x (2)³

answer this question please :)

Mrs. Green purchased 3 4/5 pounds of pecans. What is the decimal value equivalent to the pounds of pecans purchased.

please help! its math and im so confused!

A watering can dispenses water at the rate of 0.20 gallon per minute. The original volume of water in the can was 8 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water? (1 point)


{(7.8, 1), (7.6, 2), (7.4, 3)}

{(1, 7.8), (2, 7.6), (3, 7.4)}

{(8.0, 1), (7.8, 2), (7.6, 3)}

{(1, 8.0), (2, 7.8), (3, 7.6)}

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Auto Tech charged Mrs. Smith $90.00 for an automotive part plus $53.00 per hour
that a mechanic worked to install the part. The total charge was $328.50. For about how
long did the mechanic work to install the part on Mrs. Smith’s car?

I will give brainliest if you get it right and 1st please answer this question?!