Question

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?

Answer 1

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

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

The drawing on the map is 2 inches long.