Unit Rates and Proportional Relationships (no graphs)

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 a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

Define constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It is the ratio of one quantity to another when the two quantities are proportional.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity. If the ratio is the same for all pairs, the quantities are proportional.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

Front

If k = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

What is the unit rate for 8 apples costing $4?

Back

The unit rate is $0.50 per apple.

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the constant of proportionality?

Back

The constant of proportionality is 0.25 cups of flour per cookie.

Front

What is the unit rate for 60 miles driven in 2 hours?

Back

The unit rate is 30 miles per hour.

Front

If the constant of proportionality is 1.50, what does this mean in a real-world context?

Back

It means that for every unit of one quantity, there is 1.50 units of the other quantity. For example, if 1 item costs $1.50, then 2 items would cost $3.00.

Front

How can you tell if a relationship is not proportional?

Back

A relationship is not proportional if the ratios of the quantities are not constant. For example, if doubling one quantity does not result in doubling the other, they are not proportional.