Question

A certain forest covers an area of 3400 km². Suppose that each year this area decreases by 5.5%. What will the area be after 12 years?

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain exponential decay

An exponential function is defined by the formula f(x) = ab^x, where the input variable x occurs as an exponent

STEP 2: Write the given value

$a=3400,b=(1-0.055)=0.945,x=12$

STEP 3: Calculate the area after 12 years

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