Question

A certain forest covers an area of 4200 km2 . suppose that each year this area decreases by 8.5% . what will the area be after 15 years? use the calculator provided and round your answer to the nearest square kilometer.

Answer 1

If the area decreases by 8.5%, that leaves 100-8.5, or 91.5% of the forest remaining. So, at the end of 15 years, you have:
(.915)^15=.2638, or 26.38% of the forest left.
.2638 x 4200=1108 km² of the forest remains
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Answer 2

The area of the forest after 15 years is required.

The area of forest will be $1108\ \text{km}^2$

i = The initial area of the forest = $4200\ \text{km}^2$

r = Per year decrease is = 8.5%

n = Number of years = 15

The required formula is

$A=i(1-r)^n\\\Rightarrow A=4200(1-0.085)^{15}\\\Rightarrow A=1108.06\approx 1108\ \text{km}^2$

The area of forest will be $1108\ \text{km}^2$

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