A scale on a map shows that 2 inches = 25 miles.

Part A

How many inches on the map represents 60 miles?

Part B

How many miles is represented by 1/4 inch on the map?

Verified Answer :

naǫ

A:
2 inches - 25 miles
x inches - 60 miles

Set up a proportion:
\(\frac{2}{25} = \frac{x}{60} \\ \\ \frac{2}{25} \times 60=x \\ \\ \frac{120}{25}=x \\ \\ x=4.8\)

4.8 inches on the map represent 60 miles.

B:
2 inches - 25 miles
1/4 inches - x miles

Set up a proportion:
\(\frac{2}{25}=\frac{\frac{1}{4}}{x} \\ \\ \frac{2}{25}x=\frac{1}{4} \\ \\ x=\frac{1}{4} \times \frac{25}{2} \\ \\ x=\frac{25}{8} \\ \\ x=3.125\)

3.125 miles are represented by 1/4 inches on the map.

Answer:

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Step-by-step explanation:

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