Question

Finding a final amount in a word problem on expA certain forest covers an area of 2600 km². Suppose thaUse the calculator provided and round your answer to the2.kmХ?

Answer 1

Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question

`f(x)=ab^x^{}`

Where:

a is the initial value

b is the factor of decay

y is the new value

x is the time

`\because a=2600km^2`
`\because b=1-(7)/(100)=0.93`
`\because x=7years`
`y=2600(0.93)^7`

Let us find the answer using the calculator

`y=1564.422264km^2`

Round it to the nearest square km means a nearest whole number

y = 1564 km^2

The final amount is 1564 square kilometers