Question

The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?

Answer 1

4225

Explanation:

Answer 2

4,225 acres

Explanation:

If a biologist predicts that the area of the wetland will change according to the equation
`y = 10,000(0.65)^(x)` where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

`y = 10,000(0.65)^(2)\\y = 10,000 * 0.4225\\y = 4225`

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres