Question 380264: I cannot figure out how to make an equation in order to solve this problem and when I do try I get an outrageously huge number that is wrong. Please help me understand this...
The fox polulation in a certain region has a relative growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 15700.
(a) Find a function that models the population t years after 2000 (t=0 for 2000).
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) _____
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The fox population in a certain region has a relative growth rate of 9 percent per year.
It is estimated that the population in the year 2000 was 15700.
:
Remember that an increase of 9% of a value, is the same as multiplying by 1.09,
when the increase is added to what you already have.
:
(a) Find a function that models the population t years after 2000 (t=0 for 2000).
Your answer is:
P(t) = 15700*1.09^t
You can see when t=0, there will be no change, since 1.09^0 = 1
:
(b) Use the function from part (a) to estimate the fox population in the year 2008.
t = 8, when the year is 2008
P(t) = 15700*1.09^8
P(t) = 15700*1.99256
P(t) = 31,283 foxes in 2008
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Was I able to explain this to you in a way, that you understand now?
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