Question

The population of a town was 5000 in 2010. The population grows at a rate of 1.4% annually.

(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.
(b) Estimate the population of the town in 2022. Show your work.

Answer 1

a) P = 5000(1.014)^y

b) 5,908

Explanation:

Here, we want to write an exponential growth model;

a)The model will be represented as;

P = 5000( 1.014)^y

where P is the population at a particular year after 2010

y is the number of years after 2010

b.) For 2022;

y = 2022-2010 = 12

P = 5000(1.014)^12

P = 5,908 approximately