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? what is the actual distance from oscars campsite to the beach?

Explanation:

Step1: Find the conversion factor

Given 4 inches on map represents 2 miles in actual. To find the factor to multiply map - length by to get actual distance, we calculate the ratio of actual distance to map - distance. The ratio is $\frac{2}{4}=\frac{1}{2}$ miles per inch.

Step2: Calculate the actual distance

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

Answer:

1.25