A television has a rectangular screen that measures 16 inches by 9 inches. A second television has a screen measuring 24 inches by 13.5 inches. What scale factor was used to create the second television screen?
A. 2 2/3
B. 1 1/2
C. 2/3
D. -1 1/2
To find the scale factor, we need to compare the corresponding side lengths of the two televisions.
For the first television, the length of the longer side is 16 inches and for the second television, the length of the longer side is 24 inches.
Therefore, the scale factor for the length is 24/16 = 3/2.
For the first television, the length of the shorter side is 9 inches and for the second television, the length of the shorter side is 13.5 inches.
Therefore, the scale factor for the width is 13.5/9 = 3/2.
Since the same scale factor (3/2) was used for both the length and width, the answer is B. 1 1/2.