On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map?
\(2\frac{\mathrm{1} }{\mathrm{2}}\) centimeters.
\(1\frac{\mathrm{3} }{\mathrm{4}}\) centimeters.
2 centimeters.
4 centimeters.
Detailed Explanation
The proportion \(\frac{\mathrm{1cm} }{\mathrm{4miles}}\) =\(\frac{\mathrm{xcm} }{\mathrm{10miles}}\) models this situation.
Cross multiply. 1 × 10 = 4x, so 10 = 4x and x=\(\frac{\mathrm{10} }{\mathrm{4}}\)=\(2\frac{\mathrm{1} }{\mathrm{2}}\).
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