Exponential and Logarithmic Functions

Question

A certain forest covers an area of 3500 km2 . Suppose that each year this area decreases by 6.25% . What will the area be after 5 years? Use the calculator provided and round your answer to the nearest square kilometer. Exponential and Logarithmic Functions

Answer 1

A = a₀(r)^t, where a₀ = starting amount, r = rate, t = time

 

A = 3500(0.9375)⁵          a decrease of 6.25% means that 93.75% remains

A ≈ 3500(0.724196434)

A ≈ 2534.469 

 

The area is approximately two thousand five hundred thirty-four km²