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21 votes
A certain forest covers an area of 4400 km2. Suppose that each year this area decreases by 3.75%. What will the area be after 12 years?Use the calculator provided and round your answer to the nearest square kilometer.

User Barrie Galitzky
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1 Answer

20 votes
20 votes

Answer: the area be after 12 years is 3002 km^2

Step-by-step explanation:

We would apply the formula for calculating exponential decay. It is expressed as

A = b(1 - r)^t

where

A is the area after time t

b is the initial area r is the area

t is the time taken

From the information given,

b = 4400

r = 3.75% = 3.75/100 = 0.0375

t = 12

By substituting these values into the formula,

A = 4400(1 - 0.0375)^12

A = 4400(0.9625)^12

A =

the area be after 12 years is 3002 km^2

User Terry Harvey
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