college algebra

Question

A certain forest covers an area of 2700 km2. Suppose that each year this area decreases by 7.25%. What will the area be after 7 years?

Answer 1

Hello, thank you for taking the time to post your question!

The underlying formula that you want to use here for exponential decay is

A = P(1 – r)^t

Plugging in the values that we know it becomes

A = 2700(1 – 0.0725)^7

A = 2700(0.9275)^7

A = 1494.27

Meaning that the area of the forest will be 1594.27 km^2 after the 7 years

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

P = P₀(1-r)^t = 2700(1-0.725)⁷

Can you finish the arithmetic?