Graphs of 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 can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of the corresponding values are the same for all pairs.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

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.

Front

If 72 ounces of juice serves 12 people, what is the unit rate of juice per person?

Back

6 ounces per person.

Front

What does the point (4, 2) represent in a proportional relationship?

Back

It means that 4 items were purchased for $2.

Front

Is the relationship represented by the equation y = 3x proportional?

Back

Yes, because it can be expressed as a constant ratio of y to x.

Front

What is the cost of one slice of pizza if 8 slices cost $12?

Back

$1.50 per slice.

Front

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

Back

It indicates that the relationship is non-proportional.