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

15 A Beekeeper Estimates That His Bee Population Will Triple Each Year class=

Sagot :

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.

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