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A certin forest covers an area of 2700km^2. Suppose that each year this area decreases by 3%. What will be the area after 15 years?Use a calculator and round your answer to the nearest square kilometer.

User Hamed Tabatabaei
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1 Answer

21 votes
21 votes

Step-by-step explanation:

The decrease can be found with this equation:


A=A_0(1-r)^t

A0 is the initial area covered by the forest. r is the annual rate at which this area decreases. t is the time in years and A is the area after t years.

In this problem we have:

• A0 = 2700km²

,

• r = 3% = 0.03

,

• t = 15 years


\begin{gathered} A=2700(1-0.03)^(15) \\ A=2700\cdot0.97^(15) \\ A\approx2700\cdot0.633 \\ A\approx1709.778 \end{gathered}

Answer:

Rounded to the nearest square kilometer, the area after 15 years is 1710 km²

User Oleg Rudckivsky
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