Unit 7 Math Test Review (Page 5 of 6) in pdf

Unit 7 Math Test Review Page 5

13. Solve the quadratic equations, if possible. Hint: take the root of both sides

s 

a 



x 



x  

40 0

24 0

9 116

14. The citizens of Herrington County are wild about their dogs. They have an existing dog park for dogs to play, but

have decided to build another one so that one park will be for small dogs and the other will be for large dogs. The plan

is to build a rectangular fenced in area that will be adjacent to the existing dog park. The sketch is shown below. The

county has enough money in the budget to buy 950 feet of fencing for the three sides of the field. CALC

a. Determine the length of the new dog park, l, in

b. Write an equation (A(w)) for the area of the new dog

terms of the width, w.

park in terms of width.

c. Sketch the graph of the function. Label the axes, the

d. Explain what each of the x-intercepts means in

absolute maximum or minimum, the

terms of the problem situation.

x-intercepts, and the y-intercept.

e. What should the dimensions of the dog park be to

maximize the area? What is the maximum area of

the park?

f. Use the graph to determine the dimensions of the park

if the area was restricted to 80,000 square feet.

Unit 7 Math Test Review Page 5