Angelv00
Answered

On a map, 2 cm represents 30 mi. On the map, the distance between two cities is 7.5 cm.


What is the actual distance between the two cities?


A.

8 mi


B.

35.5 mi


C.

112.5 mi


D.

225 mi

Verified Answer :

iGreen

Set up a proportion.

2/30 = 7.5/x

Cross multiply:

2x = 225

Divide 2 to both sides:

x = 112.5

So the actual distance between the two cities is 112.5 miles.

Cross multiply: \(\frac{2}{7.5} = \frac{30}{x}\) 

\(225 = 2x\)

Divide 2 from both sides

\(\frac{225}{2} = \frac{2x}{1}\)

\(x =112.5\)

Your answer is C. 112.5

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