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?(1 point)

Question

Responses

2/3

1 1/2

2 2/3

−1 1/2

Answer 1

To find the scale factor from the first television screen (16 inches by 9 inches) to the second television screen (24 inches by 13.5 inches), we can compare the dimensions of the two screens.

1. Width Comparison:

   • First television width: 16 inches
   • Second television width: 24 inches
   • Scale factor for width: \( \frac{24}{16} = \frac{3}{2} = 1.5 \)

2. Height Comparison:

   • First television height: 9 inches
   • Second television height: 13.5 inches
   • Scale factor for height: \( \frac{13.5}{9} = \frac{3}{2} = 1.5 \)

Since both the width and height scale factors are equal (1.5), the overall scale factor used to create the second television screen is 1 1/2.

Thus, the answer is:

1 1/2