Chapter 6.1, Problem 1E

To determine

To explain : A unit rate with an example.

Answer to Problem 1E

A unit rate is a rate that has a denominator of $\text{1}$ when expressed in fraction form.

Explanation of Solution

Given information :

The term given in the question- unit rate.

Consider the term unit rate given in the question.

Definitionof a unit rate:

A unit rate is a rate that has a denominator of $\text{1}$ when expressed in fraction form.

Unit rates are often expressed using the word per , which means “for every”.

Consider the following example of unit rate:

A tap can fill a water tank of 60 litres in 6 hours.

Write a rate comparing the total litres of water to the total time taken in hours.

Rate = $\frac{60\text{ litres}}{\text{6 hour}}$ .

Rewrite the rate so the denominator is $\text{1}$ .

  $\begin{array}{l}\frac{60\text{ litres}}{6\text{ hours}}=\frac{60\text{ litres}÷6}{6\text{ hours}÷\text{6}}[\text{Divide the numerator and denominator by }6.]\\ =\frac{10\text{ litres}}{1\text{ hour}}\text{ [simplify]}\end{array}$

Hence,

The amount of water filling the tank is $10\text{ litres}$ per hour.