ACC Proportional Relationships Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a total amount?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you have 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0). If the line does not pass through the origin, the relationship is not proportional.

Front

If Alexis used 2.5 cups of oreo bits for 10 people, how much oreo is in one serving?

Back

To find the amount of oreo bits per serving, divide 2.5 cups by 10 servings: 2.5 ÷ 10 = 0.25 cups per serving.

Front

How do you compare unit rates from different quantities?

Back

To compare unit rates, calculate the unit rate for each quantity and then compare the results. For example, if Alexis has 0.25 cups per serving and Kaden has 0.2 cups per serving, Alexis has more oreo bits per serving.

Front

What is the formula to calculate the unit price?

Back

The formula to calculate the unit price is: Unit Price = Total Price ÷ Quantity. For example, if apples cost $3.60 for 3 pounds, the unit price is $3.60 ÷ 3 = $1.20 per pound.

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) is significant in a proportional graph because it indicates that when there is zero of one quantity, there is also zero of the other quantity, maintaining the constant ratio.

Front

How do you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified from a graph if the line does not pass through the origin or if the line is not straight.

Front

What is the unit rate of $3.60 for 3 pounds of apples?

Back

The unit rate is $1.20 per pound, calculated by dividing $3.60 by 3.