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? $\frac{1}{2}$ what is the actual distance from oscars campsite to the beach? mi 4 in. : 2 mi

Explanation:

Step1: Find the conversion factor

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

Step2: Calculate actual distance to beach

The distance from campsite 4A to the beach on the map is $2\frac{1}{2}$ inches. We convert $2\frac{1}{2}$ to an improper - fraction: $2\frac{1}{2}=\frac{5}{2}$ inches. Then we multiply by the conversion factor. The actual distance $d=\frac{5}{2}\times\frac{1}{2}=\frac{5}{4} = 1.25$ miles.

Answer:

1. $\frac{1}{2}$
2. $1.25$