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
[tex]\begin{gathered} 1\text{ mile =}\frac{0.75\text{ inches}}{15}\text{ } \\ \Rightarrow\text{ 0.05 inches} \end{gathered}[/tex]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
