Question

the initial population of a town is 15,000, and it grows with a doubling time of 10 years. what will the population be in 12 years? in 24 years?

what will the population be in 12 years?
34461
(round to the nearest whole number as needed.)

what will the population be in 24 years?

(round to the nearest whole number as needed.)

Explanation:

Set up the exponential growth model

Using the Exponential Growth and Doubling Time knowledge points

$$ P(t) = P_0 \cdot 2^{\frac{t}{T_d}} $$

where \(P_0 = 15,000\) and \(T_d = 10\).

Calculate the population in 12 years

Using the Exponential Growth knowledge point

$$
LATEXBLOCK0
$$

Calculate the population in 24 years

Using the Exponential Growth knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 1

What will the population be in 12 years?
<blank>34,461</blank>
(Round to the nearest whole number as needed.)

Question 2

What will the population be in 24 years?
<blank>79,170</blank>
(Round to the nearest whole number as needed.)