Question

15. A beekeeper estimates that his bee population will triple each year.

Answer 1

`P\mleft(x\mright)=150(3^x)`

Step-by-step explanation:

The initial number of bees = 150

`P(0)=150`

The beekeeper estimates that his bee population will triple each year. Thus, after 1 and 2 years:

`\begin{gathered} P(1)=150*3 \\ P(2)=150*3*3=150*3^2 \end{gathered}`

Continuing in like manner, after x years:

`P(x)=150(3^x)`

P(x) is the required function.