Chapter 6, Problem 38SGR

To determine

To calculate:Tofind the length of the highway on the map

Answer to Problem 38SGR

The length of the highway on the map is $9$ inches

Explanation of Solution

Given information:The length of a highway is $900$ miles. If $0.5$ inches on a map represents $50$ miles

Calculation:

Given the length of a highway is $900$ miles

And If $0.5$ inches on a map represents $50$ miles

Thus, scale is given as

  $50miles=0.5inch$

Thus, length of highway on the map is calculated as

  $\begin{array}{l}1mile=\frac{0.5}{50}inch\\ 900miles=\frac{0.5}{50}\times 900inch\end{array}$

On solving the above,

  $\begin{array}{l}900miles=\frac{5\times 900}{500}inch\\ 900miles=\frac{5\times 9}{5}inch\\ 900miles=\frac{1\times 9}{1}inch\\ 900miles=9inches\end{array}$

Hence, the length of highway on the map is $9$ inches