Unit 3 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 is constant.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the unit rate in a proportional relationship, indicating how much one quantity changes in relation to another.

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.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that the relationship is proportional.

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

Identify the equation that does NOT represent a proportional relationship: y = 5x - 7, y = 3x, y = 1/2 x, y = -2x.

Back

y = 5x - 7 does NOT represent a proportional relationship because it has a y-intercept other than zero.

Front

If Sherry can buy 4 pounds of oranges for $18, what is the cost per pound?

Back

The cost per pound is $4.50.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always zero.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents k.