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36 votes
36 votes
Danny is drawing a map to show the directions from his house to his grandmother's house. He uses a scale of 1.5 inches to represent 18 miles. If the distance from his house to his grandmother's house is 24 miles, how long is the drawing on the map?

User Vitalidze
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1 Answer

4 votes
4 votes

The scale is represented by a proportional relationship, so we can say that:


\begin{gathered} \frac{18\text{ miles}}{1.5\text{ inches}}=\frac{24\text{ miles}}{x} \\ 18x=24\cdot1.5 \\ 18x=36 \\ x=(36)/(18)=2\text{ inches} \end{gathered}

The drawing on the map is 2 inches long.

User OPfan
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