Question

The projected population of a city is given by 125,000 (1.11)^ t/20, where t is the number of years after 1995. What is the projected population in 2015?

Answer 1

So,

The function of population is given by:

`P(t)=125,000(1.11)^{(t)/(20)}`

Since t is the number of years after 1995.

If we want to find the population in 2015, we could replace t by 20 in the function:

`\begin{gathered} P(20)=125,000(1.11)^{(20)/(20)} \\ P(20)=125,000\cdot1.11 \\ P(20)=138,750 \end{gathered}`

Therefore, the projected population in 2015 is 138,750 people.