A certain forest covers an area of 3100 km^2. suppose that each year this area decreases by 8.25%. what will the area be after 15 years? round to the nearest square kilometer.

Question

Mathematics

Mariam Lowery

4 July, 12:15

A certain forest covers an area of 3100 km^2. suppose that each year this area decreases by 8.25%. what will the area be after 15 years? round to the nearest square kilometer.

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Nehemiah Hobbs · Answer 1

A decrease of 8.25% means the reduction factor is 100-8.25=91.75%=0.9175.

The shrinkage over 15 years is 0.9175¹⁵=0.27485 approx, so the size of the forest will be 3100*0.27485=852 sq km approx.