Chapter 2.8, Problem 1STP

For Exercises $1-4,$ choose the correct letter.

The distance between Capeton and Jonesville is 80 miles. The scale on the map is 0.75 in. : 10 miles. How far apart are the cities on the map?

A. 6 in.

B. 60 in.

C. 600 in.

D. 1067 in.

To determine

To find:  distance between cities in inch (in).

Answer to Problem 1STP

Option A is correct.

Explanation of Solution

Given information:  Distance between Capeton and Jonesville is 80 miles and scale map is

0.75 in.: 10 miles.

  let the distance between Capeton and Jonesville be $x\text{ in}$ .

So,

  $\begin{array}{l}\Rightarrow \frac{0.75\text{ in}}{10\text{ miles}}=\frac{x\text{ in}}{80\text{ miles}}\\ \Rightarrow x\text{ in}=\frac{0.75\text{ in}}{10\text{ miles}}\times 80\text{ miles}\\ \Rightarrow x\text{ in}=\frac{0.75\text{ in}}{1}\times 8\\ \Rightarrow x\text{ in}=6\text{ in}\end{array}$

The cities are 6 in. apart.