## What is a rate?

A

**rate**is a ratio that compares two quantities with different units of measure.**Example of a rate:**

A plane flew $765$ miles in $5$ hours.

### Unit rates

A

**unit rate**is a comparison of two measurements where one of the terms (usually, the second term) is $\goldD1$.**Examples of a unit rates:**

There are $60$ minutes in $\goldD1$ hour.

Jen types $42$ words in $\goldD1$ minute.

*Want to learn more about rates? Check out this video.*

## Finding unit rates

To find a unit rate, we divide the first quantity in a rate by the second.

**Example:**

A plane flew $765$ miles in $5$ hours.

The plane flew at a rate of $153$ miles per hour. We can also write the unit rate as $153\text{ miles}:\goldD1\text{ hour}$.

*Want to learn more about solving unit rates? Check out this video.*

## Using unit rates to solve rate problems

Let's look at an example.

Mark can make $\blueD{42}$ birthday cakes in $\redC7$ days.

**How many birthday cakes can Mark make in $\purpleD5$ days?**

First, we find the unit rate.

Mark makes cakes at a unit rate of $6$ cakes for every $1$ day.

Now, we can use the unit rate to find how many cakes Mark makes in $\purpleD5$ days.

**In $\purpleD{5}$ days, Mark can make $\greenD{30}$ cakes.**