Proportional and NonproportionalRelationships

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 a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

Tags

CCSS.7.RP.A.2D

Front

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

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

Write the equation in slope-intercept form for a situation with a $10 startup fee and a $2 monthly fee.

Back

y = 2x + 10

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If y = 4x represents a proportional relationship, what is the value of y when x = 5?

Back

y = 20

Tags

CCSS.7.RP.A.2C

Front

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

Back

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

Tags

CCSS.7.RP.A.2D

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change between the two variables.

Tags

CCSS.8.EE.B.5

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, the value of y when x = 0.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If a rental service charges a flat fee plus a variable fee, is this a proportional relationship?

Back

No, because the flat fee means the relationship does not pass through the origin.

Tags

CCSS.7.RP.A.2A

Front

What is the equation for a proportional relationship with a constant of proportionality of 2?

Back

y = 2x

Tags

CCSS.7.RP.A.2C