To find the scale factor used to create the second television screen from the first television screen, we can calculate the scale factor by comparing the dimensions of the two screens.
First, let's look at the dimensions of the first television screen:
- Width: 16 inches
- Height: 9 inches
Next, we look at the dimensions of the second television screen:
- Width: 24 inches
- Height: 13.5 inches
Now, we'll find the scale factors for both dimensions separately.
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For the width: \[ \text{Scale factor for width} = \frac{\text{Width of second TV}}{\text{Width of first TV}} = \frac{24}{16} = \frac{3}{2} \text{ or } 1.5 \]
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For the height: \[ \text{Scale factor for height} = \frac{\text{Height of second TV}}{\text{Height of first TV}} = \frac{13.5}{9} = \frac{3}{2} \text{ or } 1.5 \]
Since both the width and height have the same scale factor of \( \frac{3}{2} \), we conclude that the overall scale factor from the first television to the second television is:
\[ \text{Scale factor} = \frac{3}{2} \]
Thus, the correct response is:
\(\frac{3}{2}\).