Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.
-A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 15 feet by 17 feet and the area of the rug is 80 square feet, how wide will the border be?
A) 3.5 feet
B) 6 feet
C) 4.5 feet
D) 5.5 feet

Question

Quizplus · Accepted Answer

The area of the room is 15 * 17 = 255 square feet. The area of the rug is 80 square feet, so the area of the border is 255 - 80 = 175 square feet. Let x be the width of the border. The dimensions of the rug will then be (15 - 2x) by (17 - 2x), and its area is (15 - 2x)(17 - 2x) = 80. Solving this equation for x gives x = 3.5 feet.

Find All Fixed Points for the Function by Setting the Function