Answer:
16 actual miles.
Step-by-step explanation:
We have been given that a scale on a hiking map shows that 1.5 inches represents 4 miles. We ate asked to find the number of actual miles that are represented by 6 inches on the map.
We will use proportions to solve our given problem.
[tex]\frac{\text{Actual distance}}{\text{Distance on map}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}[/tex]
Upon substituting map distance of 6 inches in above proportion, we will get:
[tex]\frac{\text{Actual distance}}{\text{6 inches}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{6 inches}}\cdot \text{6 inches}=\frac{\text{ 4 miles}}{\text{1.5 inches}}\cdot \text{6 inches}[/tex]
[tex]\text{Actual distance}=\frac{\text{ 4 miles}}{1}\cdot 4[/tex]
[tex]\text{Actual distance}=\text{16 miles}[/tex]
Therefore, 6 inches on the map represents 16 actual miles.
