A certain forest covers an area of 3700km^2. Suppose that each year this area decreases by 3.25% . What will the area be after 9 years? round your answer to the nearest square kilometer

Question

A certain forest covers an area of 3700km^2. Suppose that each year this area decreases by 3.25% . What will the area be after 9 years? round your answer to the nearest square kilometer.

Answer 1

loss rate, r =0.0325

original area, a₀ = 3700

a₁ = a₀-a₀(r) = a₀(1-r)

a₂ = a₁(1-r) = a₀(1-r)²

a₃ = a2(1-r) = a₀(1-r)³

:

:

a_n = a₀(1-r)ⁿ

a₉ = a₀(1-r)⁹ = 3700(0.9675)⁹ ≈ 2748 km²

Answer 2

The graph depicted in the video answer represents exponential decay. To visit the graph simply select the below URL, right-click, and choose Go to from the drop-down menu.

desmos.com/calculator/zwbndnnnad