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?
(round to the nearest whole number as needed.)

Explanation:

Identify given parameters

Using the Exponential Growth and Doubling Time knowledge points

$$
LATEXBLOCK0
$$

Set up exponential model

Using the Exponential Growth knowledge point

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

Calculate population at 12 years

Using the Exponential Growth knowledge point

$$
LATEXBLOCK1
$$

Round to nearest whole number

Using the Exponential Growth knowledge point

$$ P(12) \approx 34461 $$

Answer:

What will the population be in 12 years?
<blank>34461</blank>
(Round to the nearest whole number as needed.)