Miguel wants to visit every wax museum in the United States. Two that are left on Miguel's list are in Somerville and Salem, which are 5.2 miles apart. What is the distance between the two wax museums on a map with a scale of 1 inch = 1.3 miles?

Question

inches

Answer 1

To find the distance between the two wax museums on the map, we can use the scale provided: 1 inch = 1.3 miles.

We want to convert the actual distance of 5.2 miles into inches on the map using this scale.

We can set up the following proportion to find the distance in inches:

\[ \text{Distance on map (in inches)} = \frac{\text{Actual distance (in miles)}}{\text{Scale (in miles per inch)}} \]

Plugging in the values:

\[ \text{Distance on map (in inches)} = \frac{5.2 \text{ miles}}{1.3 \text{ miles/inch}} \]

Now, calculate the value:

\[ \text{Distance on map (in inches)} = \frac{5.2}{1.3} \approx 4 \]

Thus, the distance between the two wax museums on the map is approximately 4 inches.