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. 2/3
B. 1 1/2
C. -1 1/2
D. 2 2/3
To find the scale factor, we need to compare the dimensions of the second television screen with the dimensions of the first television screen.
The length of the second television screen is 24 inches, compared to the length of the first television screen, which is 16 inches. So, the scale factor for the length is 24/16 = 3/2.
The height of the second television screen is 13.5 inches, compared to the height of the first television screen, which is 9 inches. So, the scale factor for the height is 13.5/9 = 3/2.
Since the scale factor is the same for both dimensions, we can conclude that the scale factor used to create the second television screen is 3/2.
The answer is A. 2/3.