To find the scale factor used to create the second television screen based on the dimensions of the first television screen, we compare the dimensions of the two screens.
The first television has a screen size of 16 inches by 9 inches, while the second television has a screen size of 24 inches by 13.5 inches.
To determine the scale factor for the width: \[ \text{Scale factor for width} = \frac{\text{Width of second TV}}{\text{Width of first TV}} = \frac{24}{16} = \frac{3}{2} \]
To determine the scale factor for the height: \[ \text{Scale factor for height} = \frac{\text{Height of second TV}}{\text{Height of first TV}} = \frac{13.5}{9} = \frac{3}{2} \]
Since the scale factor is consistent for both dimensions, the overall scale factor used to create the second television screen from the first is: \[ \frac{3}{2} \]
Therefore, the scale factor is \( \frac{3}{2} \).
Among the provided responses, the correct answer is:
\( \frac{3}{2} \).
1 answer