Suppose a city with population 300,000 has been growing at a rate of ​6% per year. If this rate​ continues, find the population of this city in 15 years.

Answer 1

A=300,000e^.06(15)

= 300,000e^.9= about 737,881 in 15 years at 6% annual growth rate

rounded up to nearest person

populations tend to grow naturally with an exponential equation

of general form

A=Pe^rt with P initial Population at time t=0, A=ending population after t years at r annual growth rate