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 general store? 4 in.:2 mi

Explanation:

Step1: Find the conversion factor

Given 4 inches represents 2 miles. To find the factor to multiply map - length by to get actual distance, we set up a proportion. Let the factor be $x$. If we consider the ratio of actual distance to map distance, for 4 inches and 2 miles, the ratio is $\frac{2}{4}=\frac{1}{2}$ miles per inch. So we multiply each length on the map by $\frac{1}{2}$ to get the actual distance.

Step2: Calculate actual distance to general store

The map - distance from Oscar's campsite (4A) to the general store is 3 inches. Using the conversion factor $\frac{1}{2}$ miles per inch, we multiply the map - distance by the conversion factor. The actual distance $d$ is $d = 3\times\frac{1}{2}=1.5$ miles.

Answer:

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

b. $1.5$