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

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the number that relates the two quantities in a proportional relationship.

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 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, it means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

How do you calculate the pay per hour if a job pays a total amount for a certain number of hours?

Back

To calculate the pay per hour, divide the total pay by the number of hours worked. For example, if a job pays $56 for 8 hours, the pay per hour is $56 ÷ 8 = $7.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

If Perry earned $96 for shoveling snow from 8 driveways, how much would he earn for 6 driveways?

Back

Perry would earn $72 for shoveling 6 driveways.

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

What is the relationship between proportional relationships and linear equations?

Back

Proportional relationships can be represented by linear equations in the form y = kx, where k is the constant of proportionality.

Front

How can you tell if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction or if their cross products are equal.