Question

What is a unit rate? Give an example.

Short answer

A unit rate is given by a rate that has a denominator of 1 unit.

Step-by-step solution

. Given

The given term is “unit rate”.

. To determine

We have to explain what is a unit rate with an example.

Step-3 – Explanation

Definition: A unit rate is given by a rate that has a denominator of1 unit.

Unit rates contain the word per, which means “for every”.

Example:

Let a plane covers 150 km in 30 minutes.

Then we write a rate for the speed of the plane using total distance to the total time taken in minutes.

Rate =.$\frac{\text{150km}}{\text{30min}}$

Then we will rewrite the rate so the denominator becomes .

$\begin{array}{c}\frac{\text{150km}}{\text{30min}}=\frac{\text{150km}÷30}{\text{30min}÷30}[\text{Dividethenumeratoranddenominatorby30}.]\\ =\frac{\text{5km}}{1\text{min}}\text{[simplify]}\end{array}$

So, the speed of the plane is 5 km per minute.