Is It Proportional?

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship from a table of values?

Back

In a proportional relationship, the ratio of y to x is constant for all pairs of values. If you divide y by x for each pair, the result should be the same.

Tags

CCSS.7.RP.A.2A

Front

What is an example of a proportional relationship in real life?

Back

If you buy 2 pounds of apples for $4, then 4 pounds will cost $8. The cost per pound remains constant.

Tags

CCSS.7.RP.A.2A

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a consistent ratio.

Tags

CCSS.7.RP.A.2D

Front

What does a linear graph represent?

Back

A linear graph represents a relationship where the change in one variable is consistent with the change in another variable, often forming a straight line.

Tags

CCSS.8.EE.B.5

Front

How can you tell if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the variables.

Tags

CCSS.7.RP.A.2D

Front

What is a constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

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

Back

Divide the value of y by the value of x for any pair of values in the table. If the ratio is the same for all pairs, that value is the constant of proportionality.

Tags

CCSS.7.RP.A.2B