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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

Respuesta :

Heather

Answer: 30,620 people

Step-by-step explanation:

We will use the given formula for exponential growth.

➜ 1.55% / 100 = 0.0155

➜ 2022 - 2017 = 5 years

          [tex]A=Pe^{rt}[/tex]

          [tex]A=(28,337\;people)e^{(0.0155)(5\;years)}[/tex]

          [tex]A=(28,337\;people)e^{0.0775}[/tex]

          [tex]A=(28,337\;people)e^{0.0775}[/tex]

          [tex]A=30,620.4587 \approx 30,620\;people[/tex]

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