Question

Arturo is going to build a dog run using one side of his house and 100feet of fencing. His design has an area that can be modeled by a = 100x – 7x2.How many square feet will it have?

Answer 1

Problem

Arturo is going to build a dog run using one side of his house and 100 feet of fencing. His design has an area that can be modeled by a = 100x – 7x2.

How many square feet will it have?

Solution

For this case we have the following function given:

`A=100x-7x^2`

For this case we can solve this problem if we find the maximum of the function so we can create a graph and we got:

For this case is possible to see that the maximum is 357 so then the best answer would be:

357 square feet