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 amount by the number of units. For example, if 6 ounces cost $13.50, the unit rate is $13.50 ÷ 6 = $2.25 per ounce.

Front

If Amelia knits 1/10 of a scarf in 48 minutes, how much can she knit in 1 hour?

Back

1/8 of a scarf.

Front

What is the formula to calculate the total cost in a proportional relationship?

Back

Total Cost = Unit Rate × Quantity.

Front

If Chris trims 2/3 of a tree in 30 minutes, what is his trimming rate in trees per hour?

Back

4/3 trees per hour.

Front

What does the point (1, 14) represent in the context of Clayton's earnings?

Back

It represents that Clayton earns $14 for every hour he works.

Front

What is the relationship between hours worked and total earnings in a proportional relationship?

Back

The total earnings increase at a constant rate as the number of hours worked increases.

Front

How can you determine if a table shows a proportional relationship?

Back

Check if the ratios of corresponding values are constant.

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the ratio that describes how one quantity changes in relation to another.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour (using the unit rate of 0.5 cups per serving).