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 quantity by the number of units. For example, if there are 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

What does the constant of proportionality represent in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x, indicating how much y changes for a unit change in x.

Front

What is the unit rate of 150 miles in 3 hours?

Back

50 miles per hour.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What does the ordered pair (10, 200) represent in a proportional relationship?

Back

It represents that for every 10 units of one quantity, there are 200 units of the other quantity.

Front

Is the graph of a proportional relationship a straight line?

Back

Yes, the graph of a proportional relationship is a straight line that passes through the origin.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar is constant.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship.