Question

a certain forest covers an area of 4100km squared. if each year the area decreased by 4.5% what will be the area after 15 years

Answer 1

2055 km²

Explanation:

The amount of forest remaining after t years can be modeled by the exponential equation ...

remaining = original · (multiplier each year)^(number of years)

area = 4100·0.955^t

Then for t=15, the area is ...

area = 4100·0.955^15 ≈ 2055.1 . . . . km²

The area of the forest after 15 years will be about 2055 square kilometers.