To find the scale factor in a drawing, you can compare the measurement on the drawing to the actual measurement. Here, Toby's scale is given as 5 inches representing 1 yard.
First, convert yards to inches because the units need to be the same for a proper ratio. Since 1 yard equals 36 inches, we can express the scale as:
\[ 5 \text{ inches} = 1 \text{ yard} = 36 \text{ inches} \]
Now, we can establish the ratio of drawing measurement to actual measurement:
\[ \text{Scale factor} = \frac{\text{Drawing measurement}}{\text{Actual measurement}} = \frac{5 \text{ inches}}{36 \text{ inches}} \]
To simplify this ratio, we can use the scale factor directly:
\[ \frac{5}{36} \]
Thus, the scale factor in ratio form is:
\[ 5 : 36 \]
Therefore, the drawing's scale factor is 5:36.
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