Review of Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 30 laps in 10 minutes, the unit rate is 30 laps ÷ 10 minutes = 3 laps per minute.

Front

If a recipe calls for 4 tablespoons of butter for every 2 cups of water, what is the ratio of butter to water?

Back

The ratio of butter to water is 4:2, which simplifies to 2:1.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

How can you represent a proportional relationship on a graph?

Back

A proportional relationship can be represented on a graph as a straight line that passes through the origin (0,0).

Front

What is the missing value in the table if the relationship is proportional?

Back

To find the missing value, use the constant ratio from the other values in the table.

Front

If 3 pizzas cost $21, what is the cost of 1 pizza?

Back

The cost of 1 pizza is $21 ÷ 3 = $7.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a car travels 55 miles in 1 hour, how far will it travel in 3 hours?

Back

In 3 hours, the car will travel 55 miles/hour × 3 hours = 165 miles.

Front

What is a table of values in relation to proportional relationships?

Back

A table of values shows pairs of numbers that represent a proportional relationship, where the ratio between the pairs remains constant.