The town of Madison has a population of 25,000 . The population is increasing by a factor of 1.12 each year. Write a function that gives the population P(t) in Madison t years from now. Do not use commas in your answer. P(t)=

Question Prompt: The question prompt is: ＂What is the function that gives the population of Madison t years from now?＂Exponential Growth Formula: To find the function that represents the population of Madison t years from now, we need to use the formula for exponential growth, which is P(t) = P0 * (growth factor)^t, where P0 is the initial population and the growth factor is 1.12 in this case.Initial Population and Growth Factor: The initial population P0 is given as 25,000. The growth factor is 1.12, which means the population increases by 12% each year. To write the function, we replace P0 with 25,000 and the growth factor with 1.12.Population Function: The function that gives the population of Madison t years from now is P(t) = 25000 * (1.12)^t.

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The town of Madison has a population of 25,000 . The population is increasing by a factor of 1.12 each year.
Write a function that gives the population
P(t) in Madison
t years from now.
Do not use commas in your answer.

P(t)=

The town of Madison has a population of $25$ , $000$ . The population is increasing by a factor of $1$ . $12$ each year. $\newline$ Write a function that gives the population $P(t)$ in Madison $t$ years from now. $\newline$ Do not use commas in your answer. $\newline$ $P(t)=$

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Math Problems

Algebra 2

Write exponential functions: word problems

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Q. The town of Madison has a population of

25

000

. The population is increasing by a factor of

1

12

each year.

\newline

Write a function that gives the population

P(t)

in Madison

t

years from now.

\newline

Do not use commas in your answer.

\newline

P(t)=

Question Prompt: The question prompt is: ＂What is the function that gives the population of Madison $t$ years from now?＂
Exponential Growth Formula: To find the function that represents the population of Madison $t$ years from now, we need to use the formula for exponential growth, which is $P(t) = P_0 \times (\text{growth factor})^t$ , where $P_0$ is the initial population and the growth factor is $1.12$ in this case.
Initial Population and Growth Factor: The initial population $P_0$ is given as $25,000$ . The growth factor is $1.12$ , which means the population increases by $12\%$ each year. To write the function, we replace $P_0$ with $25,000$ and the growth factor with $1.12$ .
Population Function: The function that gives the population of Madison $t$ years from now is $P(t) = 25000 \times (1.12)^t$ .