Proportional Relationships Flashcard

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 given quantity?

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, divide 405 by 5 to get 81 rotations per minute.

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 table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant. Check if the ratio of y to x is the same for all pairs.

Front

If 3 pounds of apples cost $3.60, how much does 1 pound cost?

Back

$1.20 per pound. (Divide $3.60 by 3 pounds.)

Front

If you travel 150 miles using 5 gallons of gas, what is the distance traveled per gallon?

Back

30 miles per gallon. (Divide 150 miles by 5 gallons.)

Front

What is the formula to find the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

What is an example of a proportional relationship in real life?

Back

An example is the cost of apples: if 2 pounds cost $2, then 4 pounds cost $4, maintaining a constant rate of $1 per pound.

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the ratio that relates two proportional quantities. It is the factor by which one quantity is multiplied to obtain the other.

Front

How do you express a proportional relationship in an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.