Question

A city has a population of 250,000. The population is expected to decrease 1.5% annually for the next decade. Write a function that represents this situation.

Answer 1

Population after
`t\ years=250000* (0.985)^t`

Explanation:

If
`P` is the initial amount,
`r` is the annual rate of decrease then after
`t` years the remaining amount
`(A)` will be given by

`A=P(1-(r)/(100))^t`

Here
`P=250000, r=1.5\%\\\\A=250000(1-(1.5)/(100))^t\\\\A=250000(1-0.015)^t\\\\A=250000* (0.985)^t`