Question

A town has a population of 1500 people at time t = 0. In each of the following cases, write a formula for the population P, of the town as a function of year t.Need help answering part B(a) The population increases by 100 people per year.P=1500 + 100t people(b) The population increases by 2 percent a year P=_____ people

Answer 1

b)

We need to find the equation when the population increases by 2 percent a year.

Then, the equation must be an exponential function:

The population increases by 5% = 0.05 year

Hence, p= initial value + (1 + 0.05)^t

Replacing the values:

$P=1500+(1.05)^t$