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 what scale factor was used to create the second television screen

Answer 1

To find the scale factor used to create the second television screen from the first, we can compare the corresponding dimensions of both screens.

1. The dimensions of the first television screen are \( 16 \) inches by \( 9 \) inches.
2. The dimensions of the second television screen are \( 24 \) inches by \( 13.5 \) inches.

To calculate the scale factor, we can divide the dimensions of the second screen by the corresponding dimensions of the first screen.

For the width: \[ \text{Scale factor for width} = \frac{24}{16} = \frac{3}{2} = 1.5 \]

For the height: \[ \text{Scale factor for height} = \frac{13.5}{9} = \frac{3}{2} = 1.5 \]

Both dimensions give us the same scale factor of \( 1.5 \).

Thus, the scale factor used to create the second television screen is 1.5.