Question

The 2000 population of a city was 705,000 and was increasing at the rate of 1.51% each year. At that rate, when will the population be 1 million

Answer 1

The population would be 1 million in 2024.

Explanation:

In order to find the answer you can use the population growth formula:

A= P*e^rt

A=Population after time=1,000,000

P= Starting population=705,000

e= Euler number that is equal to 2.718

r= rate of growth=0.0151

t= time

Now, you can replace the values on the formula and solve for t:

1,000,000 = 705,000*e^0.0151t

1,000,000/705,000 = e^0.0151t

ln(1,000/705) = ln(e^0.0151t)

ln(1000/705) = 0.0151t

t = [ln(1000/705)]/0.0151

t = 23.14 years

According to this, the answer is that the population would be 1 million in 2024.