Question

Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now. Is this a valid

prediction? What does this result tell you about the constraints on the exponential model?

Answer 1

Answer: 500(1.2)^7

Explanation:

PLATO

Answer 2

The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression.

500(1.2)^7

After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now. This is not a valid prediction because the total area of the wetland is only 1,240 acres. So a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.