Unit Rate

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 a quantity of one. For example, if you travel 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you calculate speed in miles per hour?

Back

To calculate speed in miles per hour, divide the total distance traveled by the total time taken in hours. For example, if you drive 260 miles in 4 hours, the speed is 260 miles ÷ 4 hours = 65 miles per hour.

Front

What does the slope of a graph represent?

Back

The slope of a graph represents the rate of change between two variables. It shows how much one variable changes in relation to another.

Front

If a movie ticket costs $10 and you buy 3 tickets, what is the unit rate per ticket?

Back

The unit rate per ticket is $10, since each ticket costs $10.

Front

What is the unit rate of 8 paws for 2 dogs?

Back

The unit rate is 4 paws per dog, calculated by dividing 8 paws by 2 dogs.

Front

How do you find the equation of a line from a graph?

Back

To find the equation of a line from a graph, identify the slope (rate of change) and the y-intercept. The equation is typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the unit rate of 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour, calculated by dividing 120 miles by 2 hours.

Front

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

Back

The unit rate is 0.75 cups of flour per serving, calculated by dividing 3 cups by 4 servings.

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio where one of the quantities is 1. They help compare different quantities in a standardized way.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number so that one of the quantities equals 1.