Unit Rate Graphs

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 10 apples for $5, the unit rate is $5/10 apples = $0.50 per apple.

Front

What does a graph of a unit rate look like?

Back

A graph of a unit rate is a straight line that starts at the origin (0,0) and has a constant slope, representing the ratio of the two quantities.

Front

If a car travels 150 miles in 3 hours, what is the unit rate of speed?

Back

The unit rate of speed is 150 miles / 3 hours = 50 miles per hour.

Front

What is the unit rate if 4 oranges cost $2?

Back

The unit rate is $2 / 4 oranges = $0.50 per orange.

Front

How can you represent a unit rate on a graph?

Back

You can represent a unit rate on a graph by plotting the total quantity against the total cost, and the slope of the line will represent the unit rate.

Front

What is the significance of the slope in a unit rate graph?

Back

The slope of a unit rate graph indicates the unit rate; a steeper slope means a higher unit rate.

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the unit rate of flour per cookie?

Back

The unit rate is 3 cups / 12 cookies = 0.25 cups of flour per cookie.

Front

What is the unit rate if a person earns $120 for 8 hours of work?

Back

The unit rate is $120 / 8 hours = $15 per hour.

Front

How do you identify equivalent unit rates from different graphs?

Back

You can identify equivalent unit rates by comparing the slopes of the lines in the graphs; if the slopes are the same, the unit rates are equivalent.