On a map, 1 inch represents 25 miles. If two cities are 7.5 inches apart on the map, what is the actual distance between them?

The map scale is constant, so set up the proportion $\frac{1\text{ inch}}{25\text{ miles}}=\frac{7.5\text{ inches}}{x\text{ miles}}$. Then $x=7.5\cdot25=187.5$ miles, choice G. You can check by splitting the distance: $7\cdot25=175$ and $0.5\cdot25=12.5$, and $175+12.5=187.5$. Choice H ($175$) ignores the extra half inch. Choice J ($225$) rounds $7.5$ up to $9$ before multiplying. Choice F ($32.5$) adds $7.5+25$ instead of multiplying. Scale problems always multiply the map distance by the number of miles each inch represents.