Chapter 7.7, Problem 1CYP

To determine

To find the actual distance between Nashville and Chattanooga.

Answer to Problem 1CYP

The actual distance between Nashville and Chattanooga is $150$ miles.

Explanation of Solution

Given:

The scale of the map is given as $\text{0}\text{.4 inch:}40\text{ mile}$ .

Calculation:

Let $x$ represent the actual distance between Nashville and Chattanooga.

Now let us apply the proportion rule as follows-

  $\begin{array}{l}\frac{0.4}{40}=\frac{1.5}{x}\text{ {scale on map}=\text{1}\text{.5 inch}}\\ \Rightarrow x=\frac{40\times 1.5}{0.4}\\ \Rightarrow x=150\text{ miles}\end{array}$

Therefore, the actual distance between Nashville and Chattanooga is $150$ miles.