Question

In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.55% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2022?

(Round to the nearest whole number.)

Number
people

Answer 1

Answer: 30,620 people

Explanation:

We will use the given formula for exponential growth.

➜ 1.55% / 100 = 0.0155

➜ 2022 - 2017 = 5 years

`A=Pe^(rt)`

`A=(28,337\;people)e^((0.0155)(5\;years))`

`A=(28,337\;people)e^(0.0775)`

`A=(28,337\;people)e^(0.0775)`

`A=30,620.4587 \approx 30,620\;people`