Unit Rate, Proportions, and Unit Rate Graphing

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 5 apples cost $10, the unit rate is $2 per apple.

Front

How do you solve a proportion using cross multiplication?

Back

To solve a proportion using cross multiplication, you multiply the numerator of one fraction by the denominator of the other fraction and set the two products equal to each other. For example, for 3/4 = x/12, you calculate 3 * 12 = 4 * x.

Front

What is the formula to find the unit rate?

Back

The formula to find the unit rate is: Unit Rate = Total Cost / Total Quantity. For example, if 5 pounds of apples cost $10, the unit rate is $10 / 5 = $2 per pound.

Front

If a car travels 240 miles in 4 hours, how do you calculate the unit rate in miles per hour?

Back

To calculate the unit rate in miles per hour, divide the total miles by the total hours: 240 miles / 4 hours = 60 miles per hour.

Front

What does 'k' represent in a proportional relationship?

Back

'k' represents the constant of proportionality, or the unit rate, in a proportional relationship. It is the ratio of the two quantities.

Front

How do you write an equation from a unit rate?

Back

To write an equation from a unit rate, use the form y = kx, where k is the unit rate. For example, if the unit rate is 19.25, the equation would be y = 19.25x.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to set up proportions. A proportion states that two ratios are equal, and unit rates are a specific type of ratio.

Front

How can you find the unit rate from a graph?

Back

To find the unit rate from a graph, identify the slope of the line, which represents the unit rate. The slope is calculated as the change in y over the change in x.

Front

What is the unit rate if 10 gallons of gas cost $30?

Back

The unit rate is $30 / 10 gallons = $3 per gallon.

Front

If a recipe requires 4 cups of flour for 2 loaves of bread, what is the unit rate of flour per loaf?

Back

The unit rate is 4 cups / 2 loaves = 2 cups of flour per loaf.