The scale drawing of the billboard advertisement that you made with the given dimensions has a scale factor of [tex]\frac{1}{6}[/tex].
Recall:
- A scale factor = any of the dimensions of the new shape / corresponding dimension of the original shape
- If you get a fraction, it means it's a reduction.
- If you get a whole number as a scale factor, it means it's an enlargement.
Thus:
Let's find the scale factor using the height alone.
- The original height of the billboard = 8 ft = 96 inches
- The new height of the billboard on your drawing = 16 inches
Therefore:
Scale factor = new height / original height
Scale factor = [tex]\frac{1}{6}[/tex]
Therefore, the scale drawing of the billboard advertisement that you made with the given dimensions has a scale factor of [tex]\frac{1}{6}[/tex].
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