Question

Sam wants to visit every wax museum in the United States. Two that are left on his list are inSalem and Wildgrove, which are 7.8 miles apart. This distance is represented by 2 inches onSam's map. What scale does the map use?Write your answer as a decimal or whole number.ho1 inch : miles

Answer 1

1inch : 3.9miles

Step-by-step explanation:

Given that the distance between the museum which is 7.8miles apart is represented by 2inches, then;

7.8miles = 2inches

To get the scale used;

x = 1 inch

Divide both expressions

`\begin{gathered} (7.8)/(x)=(2)/(1) \\ \end{gathered}`

Cross multiply

`\begin{gathered} 7.8*1=2* x \\ 7.8=2x \\ \text{Swap} \\ 2x=7.8 \end{gathered}`

Divide both sides by 2

`\begin{gathered} (2x)/(2)=(7.8)/(2) \\ x=3.9 \end{gathered}`

Hence the scale used is 1inch : 3.9miles