On a certain map, a distance of 3 inches represents an actual distance of 45 miles. If the… — ACT

On a certain map, a distance of $3$ inches represents an actual distance of $45$ miles. If the distance between two cities on this map is $8$ inches, what is the actual distance, in miles, between the two cities?

A
$15$
B
$50$
$120$ Answer
D
$128$
E
$360$

Answer

120

miles

Since

3

inches represents

45

miles, each inch on the map represents

\frac{45}{3} = 15

miles. To find the actual distance represented by

8

inches, multiply the number of inches by this unit rate:

8 \times 15 = 120

miles.

Step-by-Step Solution

Calculate the scale of the map by finding the number of miles represented by

1

inch.

\frac{45}{3} = 15

miles per inch

This establishes the unit rate of miles per inch on the map.

Multiply the map distance between the two cities by the unit rate.

8 \times 15 = 120

miles

This scales the unit rate to find the actual distance for

8

inches.

Key Concept

Direct proportions and unit rates

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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