use an exponential expression to calculate the area covered by purple loosestrife seven years from now. is this a valid prediction? What does this result tell you about the constraints on the exponential model?

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15-07-2022
Mathematics

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use an exponential expression to calculate the area covered by purple loosestrife seven years from now. is this a valid prediction? What does this result tell you about the constraints on the exponential model?

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-07-15T19:41:22+02:00

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

How to illustrate the information?

The exponential expression to calculate the area covered by purple loosestrife seven years from now will be:

= 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. Therefore, 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.

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