Question

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

Answer 1

Answer:

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

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:

$\begin{gathered} P(1)=150\times3 \\ P(2)=150\times3\times3=150\times3^2 \end{gathered}$

Continuing in like manner, after x years:

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

P(x) is the required function.