Question

oscar has a map of the campground where he is staying. the scale shows that 4 inches on the map represents an actual distance of 2 miles. oscars tent is at campsite 4a.
what number can you multiply each length on the map by to find the actual distance?
1/2
what is the actual distance from oscars campsite to the beach?
1.5 mi
4 in.:2 mi

Explanation:

Step1: Find the conversion factor

Given 4 inches on map = 2 miles actual. So 1 inch on map represents $\frac{2}{4}=\frac{1}{2}$ miles actual. So we multiply each length on the map by $\frac{1}{2}$ to get actual distance.

Step2: Calculate actual distance to beach

The distance from campsite 4A to the beach on the map is $2\frac{1}{2}=\frac{5}{2}$ inches. Multiply by conversion - factor. $\frac{5}{2}\times\frac{1}{2}=\frac{5}{4} = 1.25$ miles.

Answer:

a) $\frac{1}{2}$
b) $1.25$ mi