Question

A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the function that best represents the area of the forest each year and how much area remains after 12 years? Round your answer to the nearest square kilometer.

Hint: Use the formula, f(x) = P(1 + r)x

Answer 1

For the answer to the question above, I think the formula you is wrong. The x must be in exponential form. It must look like this

f(x) = P(1 + r)^x
Now we can solve.

Given:
P = 2000
r = -0.06

f(x) = 2000 (1 - 0.06)^x
= 2000 (0.94)^x



2000 (0.94)¹² =

2000 (0.476) =
The answer is
951.8 square kilometers.