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Two years ago, there were 30 foxes in a forest. this year, there are 40 foxes in the forest. what is the annual percent growth for the foxes?

User Dale Zak
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9514 1404 393

Answer:

about 15.5%

Explanation:

The number of foxes in the forest can be modeled by the exponential equation ...

f = a·b^t

where a is the initial number, and b is the growth factor per year for t years. The growth factor is 1 more than the growth rate (r), so we can put numbers in this formula to get ...

40 = 30·(1 +r)^2

4/3 = (1 +r)^2 . . . . . . divide by 30

1 +r = √(4/3) . . . . . . take the square root

r = √(4/3) -1 ≈ 0.1547 ≈ 15.5%

The annual percentage growth in the fox population is about 15.5%.

User Pteixeira
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