Question

A scale on a hiking map shows that 1.51.51, point, 5 inches represents 444 miles. What number of actual miles are represented by 666 inches on the map?

Answer 1

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.

$\frac{\text{Actual distance}}{\text{Distance on map}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}$

Upon substituting map distance of 6 inches in above proportion, we will get:

$\frac{\text{Actual distance}}{\text{6 inches}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}$

$\frac{\text{Actual distance}}{\text{6 inches}}\cdot \text{6 inches}=\frac{\text{ 4 miles}}{\text{1.5 inches}}\cdot \text{6 inches}$

$\text{Actual distance}=\frac{\text{ 4 miles}}{1}\cdot 4$

$\text{Actual distance}=\text{16 miles}$

Therefore, 6 inches on the map represents 16 actual miles.