Question

Jacqui knows that two cities are separated by approximately 120 miles. If the scale on her map is 0.75 inches = 15 miles, how far apart on the map are the two cities?

Answer 1

Given data:

The approximate distance between the cities: 120 miles

scale conversion: 0.75 inches = 15 miles

Method: Find the unit conversion rate and multiply the distance by the rate.

Step 1: if 0.75 inches = 15 miles

Then we can get the equivalent conversion of what 1 mile will be

`\begin{gathered} 1\text{ mile =}\frac{0.75\text{ inches}}{15}\text{ } \\ \Rightarrow\text{ 0.05 inches} \end{gathered}`

This means that 1 mile is equivalent to 0.5 inches

Step2: Multiply 120 miles by the unit rate

120 x 0.05 inches = 6 inches

Hence, on the map, the two cities will be 6 inches apart