To find the scale factor used to create the second television screen from the first television screen, we need to compare the dimensions of both screens.
The dimensions of the first television are:
- Width: 16 inches
- Height: 9 inches
The dimensions of the second television are:
- Width: 24 inches
- Height: 13.5 inches
Now, we can find the scale factors for both dimensions separately.
-
Width Scale Factor: \[ \text{Scale Factor (Width)} = \frac{\text{Width of second television}}{\text{Width of first television}} = \frac{24}{16} = \frac{3}{2} \]
-
Height Scale Factor: \[ \text{Scale Factor (Height)} = \frac{\text{Height of second television}}{\text{Height of first television}} = \frac{13.5}{9} = \frac{3}{2} \]
Since both scale factors for width and height are the same, the overall scale factor from the first television to the second television is \(\frac{3}{2}\).
Thus, the scale factor used to create the second television screen is \( \frac{3}{2} \).
From the provided responses, this matches none of the given answers exactly, as there appears to be a misunderstanding in options.
However, based on typical notations of scale factors, it seems like there could have been a mix-up in simplifications or interpretations.
Therefore, the correct interpretation of the given dimensions leads us to a calculated scale factor of \( \frac{3}{2} \) or 1.5, which is not listed in your options. If we reconsider the scale factors carefully against the responses given, we identify the most fitting option aligns closely to \( \frac{2}{3} \) denoted as \textit{inverted}.
We'll finalize that:
- Correct scale calculation leads to \( \frac{3}{2} = 1.5\) generally considered an enlargement.
Please double-check provided answers for possible typographic or categorical errors.
1 answer