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.

Tags

CCSS.7.RP.A.2A

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is the constant of proportionality.

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CCSS.7.RP.A.2C

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

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CCSS.7.RP.A.2B

Front

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

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph is linear but not proportional?

Back

It means that while the graph forms a straight line, the ratio of y to x is not constant.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 5x?

Back

The slope is 5, which is also the constant of proportionality.

Tags

CCSS.8.EE.B.5

Front

If y = 14x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles, maintaining the proportional relationship.

Front

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

Back

In proportional relationships, the ratio is constant; in non-proportional relationships, the ratio changes.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if a set of points on a graph represents a proportional relationship?

Back

If the points lie on a straight line that passes through the origin, they represent a proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

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

Back

An example is the relationship between distance and time at a constant speed.

Tags

CCSS.7.RP.A.2A