Question

, Ohio in 1990, the number of residents has decreased by 5% every 5 years. In 1990, there were 182,000 residents in Dayton, Ohio. Estimate the population in 2020 to the nearest whole number.

Answer 1

133,787 residents

Explanation:

First thing we need to do here is calculate the number of 5 years between 2020 and 1990

That would be 2020-1990 = 30/5 = 6

Now to estimate the present population, we will be needing an exponential equation

P = I(1-r)^n

where P is the present population at 2020

I is the population at 1990 which is 182,000

r is the percentage decrease every 5 years which is 5% or simply 5/100 = 0.05

n is the number of 5 years between 1990 and 2020 which is 6

Plugging all these values we have;

P = 182000(1-0.05)^6

P = 182000(0.95)^6

P = 133,786.724

To the nearest whole number, P = 133,787 residents