Question

Suppose a city with population 100,000 has been growing at a rate of 3% per year. If th

The population in 21 years will be approximately
(Round to the nearest whole Number as needed)

Answer 1

187761 people

Explanation:

The formula for population growth is

`P(t)=P_(0)e^r^t`, where P0 is the initial population (aka population at time 0), r is the growth rate and t is the time in years.

We can plug in 100000 for P0, 0.03 for r, and 21 for t to find P(21):

`P(21)=100000e^(^0^.^0^3^*^2^1^)\\P(21)=100000e^0^.^6^3\\P(21)=187761.0579=187761`