Comparing 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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2C

Front

What does it mean if a graph does not pass through (0,0)?

Back

If a graph does not pass through (0,0), it indicates that the relationship is not proportional.

Tags

CCSS.7.RP.A.2D

Front

How do you find the slope of a line in a graph?

Back

The slope of a line is found by calculating the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much one quantity changes in relation to one unit of another quantity.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of a straight line in a graph of proportional relationships?

Back

A straight line indicates a constant rate of change, which is characteristic of proportional relationships.

Tags

CCSS.7.RP.A.2D

Front

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

Back

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

Tags

CCSS.7.RP.A.2A

Front

What does the slope represent in a real-world context?

Back

In a real-world context, the slope represents the rate of change, such as speed or cost per unit.

Tags

CCSS.8.EE.B.5

Front

What is the constant of proportionality?

Back

The constant of proportionality is the factor by which one quantity is multiplied to obtain the other in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

How do you write an equation from a graph showing a proportional relationship?

Back

To write an equation from a graph, identify the slope (rate of change) and the y-intercept (which is 0 for proportional relationships) to form y = kx.

Tags

CCSS.8.EE.B.5