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.

f(x) = 2,000(0.94)x, 952 square kilometers
f(x) = 2,000(1.06)x, 4,204 square kilometers
f(x) = 2,000(0.06)x, 1,239 square kilometers
f(x) = 2,000(0.94)x, 1,432 square kilometers

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.

 f(x) = 2,000(0.94)x, 952 square kilometers
 f(x) = 2,000(1.06)x, 4,204 square kilometers
 f(x) = 2,000(0.06)x, 1,239 square kilometers
 f(x) = 2,000(0.94)x, 1,432 square kilometers

anonymous · Answer

If 6% of the area decreases, then 94% is left at the end of each year. Now for every subsequent year, only 94% of previous year's area will carry forward. So, at the end of first year it will be 2000(0.94), what do you think would be for next year and so on to get to 12 years?

flashp · Answer

A