Question

If the scale on a map reads, 1.5 inches = 2 miles, how long is a river that measures 7 inches on the map?

Answer 1

`9(1)/(3)\ mi`

Explanation:

we know that

The scale factor is
`(1.5)/(2)\ (in)/(mi)`

That means

1.5 inches on a map represents 2 miles in actual

To convert the dimension on the map to real dimensions, divide by the scale factor

so

`7\ in=7:(1.5)/(2)=(14)/(1.5)=(28)/(3)\ mi`

Convert to mixed number

`(28)/(3)\ mi=(27)/(3)+(1)/(3)=9(1)/(3)\ mi`