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

Answers

Answer 1

Answer: Given:
2,000 square kilometers
decreases by 6% per year
12 years.

f(x) = P(1+r)^x

The fact that the term decreases is used, (1+r) will become (1-r)

f(12) = 2,000(1-0.06)^12
f(12) = 2,000(0.94)^12
f(12) = 2,000(0.4759)
f(12) = 951.80

Answer is:
f(x) = 2,000(0.94)^x, 952 square kilometers.

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