Question
If you want to dilate a figure that has a side length of 20 yards, to create a dilated image with a corresponding side length of 15 yards, what scale factor should you use? Show your work. (1 point) Responses 34 3 fourths 5 yards 5 yards 43 4 thirds 34 yard 34 yard Skip to navigation
Answers
GPT-4o mini
To find the scale factor for dilating a figure, you use the formula for the scale factor:
\[
\text{Scale Factor} = \frac{\text{Image Size}}{\text{Original Size}}
\]
In this case:
- Original Size (side length) = 20 yards
- Image Size (side length) = 15 yards
Now plug in the values:
\[
\text{Scale Factor} = \frac{15 \text{ yards}}{20 \text{ yards}} = \frac{15}{20} = \frac{3}{4}
\]
So, the scale factor you should use is \( \frac{3}{4} \).
\[
\text{Scale Factor} = \frac{\text{Image Size}}{\text{Original Size}}
\]
In this case:
- Original Size (side length) = 20 yards
- Image Size (side length) = 15 yards
Now plug in the values:
\[
\text{Scale Factor} = \frac{15 \text{ yards}}{20 \text{ yards}} = \frac{15}{20} = \frac{3}{4}
\]
So, the scale factor you should use is \( \frac{3}{4} \).