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IF CORRECT, I WILL MARK AS BRAINLIEST
The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 19100.

(a) Find a function that models the population t years after 2000(t=0 for 2000).
Hint: Use an exponential function with base e.
Your answer is P(t)=

(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer)

Respuesta :

Hrishii

a)

[tex] P(t) = 19100. e^{0.06t} [/tex]

b) P(8) =30866

Use formula:

[tex] P(t) = P. e^{rt} [/tex]

a)

Here, P = 19100

r = 6% = 0.06

[tex] P(t) = 19100. e^{0.06t} [/tex]

b) t = 2008 - 2000 = 8

[tex] P(8) = 19100. e^{0.06\times 8} [/tex]

[tex] P(8) = 19100. e^{0.48} [/tex]

[tex] P(8) = 19100\times 1.616\\\\

P(8) = 30,865.6\\\\P(8) \approx 30,866[/tex]

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