Question

The population of Detroit, Michigan, was about 667,000 in 2020. The population of the city is decreasing at a rate of about 0.64% each year.

a. Write an equation for the population of Detroit n years after 2020.
b. Find the estimated population of Detroit in 2030.​

Answer 1

hi me

Explanation:

so i don't get reported for responding to my alt:

detroit in 2030 is 558,708 I guess

Answer 2

The estimated population of Detroit in 2030 is about 558,708.

Explanation:

a. Let P be the population of Detroit in 2020, and let t be the number of years after 2020. The rate of decrease is 0.64%, or 0.0064 as a decimal. The equation for the population of Detroit n years after 2020 is:

P(n) = P(0) * (1 - 0.0064)^n

where P(0) = 667,000 is the population in 2020.

b. To find the estimated population of Detroit in 2030, we need to plug in n = 10 (since 2030 is 10 years after 2020) into the equation from part a:

P(10) = 667,000 * (1 - 0.0064)^10

P(10) ≈ 558,708