QUESTION 8
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Use a proportion to solve the problem.
The scale on a map is \( \frac{1}{4} \) inch to 4 miles. Find the actual distance between two towns for which the distance is represented by 21 inches on the map.
\( 324 \mathrm{mi} \)
\( 328.5 \mathrm{mi} \)
\( 339.85 \mathrm{mi} \)
\( 336 \mathrm{mi} \)

Answer

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Answer

3. Solve for x: \( x = 336 \)

Steps

Step 1 ：1. Set up the proportion: \( \frac{1}{4} \text{ in} : 4 \text{ mi} = 21 \text{ in} : x \)

Step 2 ：2. Cross-multiply: \( \frac{1}{4}x = 84 \)

Step 3 ：3. Solve for x: \( x = 336 \)