Question

A certain forest covers an area of 1600 km 2 . Suppose that each year this area decreases by 5.25 % . What will the area be after 5 years?

Use the calculator provided and round your answer to the nearest square kilometer.

Answer 1

For this case we can model the problem with the following exponential equation:
A (t) = 1600 * (0.9475) ^ t
Where,
t: time in years
Substituting for t = 5 years we have:
A (5) = 1600 * (0.9475) ^ 5
A (5) = 1221.844887
round to the nearest square kilometer:
A (5) = 1222 km ^ 2
Answer:
the area after 5 years will be:
A (5) = 1222 km ^ 2