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

Answer:

$9\frac{1}{3}\ mi$

Step-by-step explanation:

we know that

The scale factor is $\frac{1.5}{2}\ \frac{in}{mi}$

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

$7\ in=7:\frac{1.5}{2}=\frac{14}{1.5}=\frac{28}{3}\ mi$

Convert to mixed number

$\frac{28}{3}\ mi=\frac{27}{3}+\frac{1}{3}=9\frac{1}{3}\ mi$