Question

the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate population in 2022

Answer 1

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

`\text{ P = P}_0e^(rt)`

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

`\text{ P = P}_0e^(rt)\text{ = (4,180,000)(}2.71828182845)^(0.062(6))`
`\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}`

Therefore, the population in 2022 will be approximately 6,063,646.