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Josiah made a scale drawing of a campground. The scale he used was 5 inches = 1 yard.
What
scale factor does the drawing use?
Simplify your answer and write it as a fraction.
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Answer :

The scale factor of Josiah's drawing can be found by looking at the relationship between the measurements in the drawing and the actual measurements in real life. Given that 5 inches represent 1 yard in the drawing, we can set up a proportion to find the scale factor as a fraction: \[ \frac{5 \text{ inches}}{1 \text{ yard}} = \frac{x \text{ inches}}{1 \text{ yard}} \] Where x represents the actual measurements in inches corresponding to 1 yard in real life. To find the scale factor, we need to simplify the proportion by cross-multiplying: \[ 5 \times 1 = x \times 1 \] \[ 5 = x \] Therefore, the scale factor for Josiah's drawing is 5:1 when written as a fraction.