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



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: [tex] \frac{2}{7.5} = \frac{30}{x} [/tex] 

[tex]225 = 2x[/tex]

Divide 2 from both sides

[tex] \frac{225}{2} = \frac{2x}{1} [/tex]

[tex]x =112.5[/tex]

Your answer is C. 112.5

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