Chapter 6, Problem 5CT

To determine

To write : the equivalent rate.

Answer to Problem 5CT

The equivalent rate is $\frac{1296\text{ cars}}{1\text{ day}}=\frac{\text{? cars}}{1\text{ hours}}$ is $\frac{1296\text{ cars}}{1\text{ day}}=\frac{\text{54 cars}}{1\text{ hours}}$

Explanation of Solution

Given information :

Consider, the proportion

  $\frac{1296\text{ cars}}{1\text{ day}}=\frac{\text{? cars}}{1\text{ hours}}$

Calculation:

To convert from cars per day to cars per hours, divide the rate by a conversion factor. There are 24 hours in one day so, $\frac{\text{1 day}}{\text{24 hours}}=1$

Therefore,

  $\begin{array}{l}\frac{1296\text{ cars}}{1\text{ day}}=\frac{\text{1296}÷\text{24 cars}}{1\text{ hours}}\left[\text{divide by conversion factor}\right]\\ \frac{1296\text{ cars}}{1\text{ day}}=\frac{\text{54 cars}}{1\text{ hours}}\end{array}$

Hence,The equivalent rate of the proportion $\frac{1296\text{ cars}}{1\text{ day}}=\frac{\text{? cars}}{1\text{ hours}}$ is $\frac{1296\text{ cars}}{1\text{ day}}=\frac{\text{54 cars}}{1\text{ hours}}$