Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you travel 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you paid $15 for 6 gallons of gasoline, the unit rate is $15 ÷ 6 = $2.50 per gallon.

Front

What does it mean if a graph shows a straight line that increases?

Back

A straight line that increases on a graph indicates a constant rate of change, meaning that as one quantity increases, the other quantity increases at a consistent rate.

Front

If a car travels 120 miles in 2 hours, what is the unit rate in miles per hour?

Back

The unit rate is 120 miles ÷ 2 hours = 60 miles per hour.

Front

What is the unit rate for rainfall if it falls 4 cm in 2 hours?

Back

The unit rate is 4 cm ÷ 2 hours = 2 cm per hour.

Front

What does the term 'ratio' mean?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

If a recipe calls for 3 cups of flour for 4 servings, what is the unit rate of flour per serving?

Back

The unit rate is 3 cups ÷ 4 servings = 0.75 cups of flour per serving.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

How can you identify a unit rate from a word problem?

Back

Look for phrases that indicate 'per' or 'for each,' which often signal that a unit rate is being described.

Front

What is the unit rate if you earn $300 for 15 hours of work?

Back

The unit rate is $300 ÷ 15 hours = $20 per hour.