Proportional Relationships Flashcard

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 a job pays $56 for 8 hours, the unit rate is $56 ÷ 8 = $7 per hour.

Front

What is the equation that relates weight and number of blocks if each block weighs 28 pounds?

Back

The equation is 28b = w, where b is the number of blocks and w is the weight.

Front

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

Back

It means that the ratio between the two quantities remains constant, and the graph of the relationship passes through the origin.

Front

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

Back

The unit rate is $1.20 per pound.

Front

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

Back

In a proportional relationship, the graph passes through the origin (0,0), indicating that if there are zero units of one quantity, there are also zero units of the other.

Front

How can you determine if a relationship is not proportional?

Back

A relationship is not proportional if the unit rate is not constant or if the graph does not pass through the origin.

Front

If a job pays $56 for 8 hours, how much does it pay for 1 hour?

Back

It pays $7 for 1 hour.

Front

What is the formula for finding the total weight of multiple concrete blocks?

Back

The formula is w = 28b, where w is the total weight and b is the number of blocks.

Front

What does a constant unit rate indicate?

Back

A constant unit rate indicates a proportional relationship between the two quantities.