On a map, the distance from Sacramento, California, to San...

On a map, the distance from Sacramento, California, to San Francisco, California, is $8 \mathrm{cm}$ The legend gives the actual distance at $91 \mathrm{mi}$. On the same map, Faythe measured $7 \mathrm{cm}$ from Sacramento to Modesto, California. What is the actual distance? (Round to the nearest mile.) note

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Key Concepts

Map Scale

This concept involves understanding and using the scale provided on a map to convert measurements on the map to actual distances. It requires recognizing that a specific distance on the map corresponds to a fixed real-life distance, making it possible to set up a conversion factor between the two.

Proportional Reasoning

This concept pertains to the method of setting up and solving proportions. When given a known ratio between map distance and actual distance, you can establish a proportion to find an unknown actual distance from another measured map distance by cross-multiplying and solving for the unknown variable.

Rounding

This concept involves adjusting numerical results to a specified level of precision. In many problems, particularly those involving measurements, answers may need to be rounded to the nearest whole number or a given decimal place in order to match the required format or level of accuracy.

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