Answer:
[tex]P\mleft(x\mright)=150(3^x)[/tex]
Explanation:
The initial number of bees = 150
[tex]P(0)=150[/tex]
The beekeeper estimates that his bee population will triple each year. Thus, after 1 and 2 years:
[tex]\begin{gathered} P(1)=150\times3 \\ P(2)=150\times3\times3=150\times3^2 \end{gathered}[/tex]
Continuing in like manner, after x years:
[tex]P(x)=150(3^x)[/tex]
P(x) is the required function.
