Question

Consider the scenario: a town has an initial population of 60,000. It grows at a constant rate of 2,500 per year for 8 years. When will the output reach 100,000?(The answer may be outside the reasonable domain.)

Answer 1

The population of the town is given by the following formula:

$p=2500t+60000$

Where p is the population and t is the number of years. Make p equal to 100000 and solve the equation for t:

$\begin{gathered} 100000=2500t+60000 \\ 100000-60000=2500t \\ 40000=2500t \\ t=\frac{40000}{2500} \\ t=16 \end{gathered}$

The output will reach 100,000 after 16 years.