Chapter 8.2, Problem 44PPS

a.

To determine

A proportion for the given relationship using x as the unknown length.

Answer to Problem 44PPS

  $\frac{x}{380}=\frac{14}{19}$

Explanation of Solution

Given:

The ratio of the north-south length to the east-west length of Colorado is $\frac{14}{19}$ . And the length of east-west length is about 380 miles.

Calculation:

Let the length of the north-south be x miles.

Then since the ratio of the north-south length to the east-west length of Colorado is $\frac{14}{19}$ , and the length of east-west side is 380 miles. So, it gives

  $\begin{array}{l}\frac{\text{north-south length}}{\text{east-west length}}=\frac{14}{19}\\ \frac{x}{380}=\frac{14}{19}\end{array}$

Thus, the proportion for the given relationship is $\frac{x}{380}=\frac{14}{19}$ .

b.

To determine

The actual north-south length.

Answer to Problem 44PPS

  $\text{B}\text{280 miles}$

Explanation of Solution

Given:

The ratio of the north-south length to the east-west length of Colorado is $\frac{14}{19}$ . And the length of east-west length is about 380 miles.

Calculation:

The proportion for the given relationship is $\frac{x}{380}=\frac{14}{19}$ . So, on solving it gives

  $\begin{array}{c}\frac{x}{380}=\frac{14}{19}\\ \frac{x}{380}\cdot 380=\frac{14}{19}\cdot 380\\ x=\frac{5320}{19}\\ x=280\end{array}$

Thus, the actual north-south length is 280 miles.