A(x)=(2+2x)^(2) Roxane wants to add a border around a square picture. The function models A, the new area of the picture in square inches if it has a border x inches wide. Which of the following statements is the best interpretation of the ordered pair (0.5,9) ? Choose 1 answer: (A) When a 0.5 -inch border is added around the picture, the new side length of the picture is 9 inches. (B) When a 0.5 -inch border is added around the picture, the new perimeter of the picture is 9 inches. (C) When a 0.5 -inch border is added around the picture, the new area of the picture is 9 times the original area. (D) When a 0.5 -inch border is added around the picture, the new area of the picture is 9 square inches.

Question

A(x)=(2+2x)^(2) Roxane wants to add a border around a square picture. The function models  A, the new area of the picture in square inches if it has a border  x inches wide. Which of the following statements is the best interpretation of the ordered pair  (0.5,9) ? Choose 1 answer: (A) When a 0.5 -inch border is added around the picture, the new side length of the picture is 9 inches. (B) When a 0.5 -inch border is added around the picture, the new perimeter of the picture is 9 inches. (C) When a 0.5 -inch border is added around the picture, the new area of the picture is 9 times the original area. (D) When a 0.5 -inch border is added around the picture, the new area of the picture is 9 square inches.

Bytelearn · Accepted Answer

Plug in x=0.5: Plug x=0.5 into the function A(x) to check if the area is indeed 9 square inches. A(0.5) = (2 + 2*0.5)^2 A(0.5) = (2 + 1)^2 A(0.5) = 3^2 A(0.5) = 9Calculate A(0.5): Since A(0.5) equals 9, the ordered pair (0.5,9) means that when a 0.5-inch border is added around the picture, the new area of the picture is 9 square inches.

Full solution

More problems from Solve quadratic equations: word problems

Related topics