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# JG Question 14

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### JG Question 14 - Page Text Content

BC: What values of "x" make A(x) equal to zero. What do the zeros mean? | -The values of "x" that make A(x) equal to zero are: 0 and 450 -The zeros represent the lowest possible dimensions for the corral's length, width, and area.

FC: Question 14: Building A Corral Jacob Gomes 1/4/12

1: Question 14: A rectangular corral is to be built by stringing an electric fence with a river forming the fourth side of the rectangle. The side parallel to the river is "y" feet long and each of the two sides perpendicular to the river are "x" feet long. The total length of the fence is to be 900 feet. | -Write an equation expressing "y" in terms of "x". What kind of function is this? -Let A(x) be the number of square feet area taken up by the coral. Write an equation for A(x). What kind of function is this? -Find A(100) and A(300) -What value of "x" makes A(x) a maximum? What is the maximum area? What are the dimensions of a corral with maximum are? -What values of "x" make A(x) equal to zero. What do the zeros mean?

2: Write an equation expressing "y" in terms of "x". What kind of function is this? | Equation: y=900-2x -This is a linear equation

3: -Let A(x) be the number of square feet area taken up by the coral. Write an equation for A(x). What kind of function is this? | Equation: A(x)=x(900-2x) -This is also a linear equation

4: Find A(100) and A(300) | -If you supplement A(100) into the equation A(x)=x(900-2x), the answer would be A(x)=70,000. -If you supplement A(300) into the equation A(x)=x(900-2x), the answer would be A(x)=90,000.

5: What value of "x" makes A(x) a maximum? What is the maximum area? What are the dimensions of a corral with a maximum area? | - -X has to be "225" to make A(x) a maximum. -The maximum area is 101,250. -The dimensions of the corral with a maximum area would be: Length=450 Width=225 -

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