Question

The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.

Answer 1

Given:

`A_0=45000\text{ ; k=0.02}`
`\begin{gathered} A=A_0e^(-kt) \\ A=45000(e)^(-0.02t) \end{gathered}`