Chapter 6.3, Problem 56SR

To determine

To express: given rate as a unit rate.

Answer to Problem 56SR

The rate of the number of feet is 6.9 for 1 second.

Explanation of Solution

Given information:

Given rate

100 feet in 14.5 seconds.

Concept used:

A rate is a ratio of two quantities having different kinds of units. In unit rate it is simplified so that it has a denominator of 1. To express a rate as a unit rate, divide the numerator and denominator of the rate by the denominator.

Calculation:

The rate that compares the number of feet to the time.

  $\frac{100\text{feet}}{14.5\text{seconds}}$

The numerator is 100 and the denominator is 14.5.

  $\begin{array}{c}\frac{100\text{feet}÷\text{14}\text{.5}}{14.5\text{seconds}÷\text{14}\text{.5}}=\frac{6.8965\text{feet}}{1\text{second}}\left(\text{Divide}\text{the}\text{numerator}\text{and}\text{denominator}\text{by}\text{14}\text{.5}\right)\\ =\frac{6.9\text{feet}}{1\text{seconds}}\left(\text{Rounding}\text{to}\text{the}\text{nearest}\text{tenths}\right)\end{array}$

Therefore, the rate of the number of feet is 6.9 for 1 second.