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 constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Tags

CCSS.7.RP.A.2B

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Tags

CCSS.7.RP.A.2B

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values (y/x) are constant.

Tags

CCSS.7.RP.A.2A

Front

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

Back

If a graph passes through the origin, it indicates a proportional relationship between the variables.

Tags

CCSS.7.RP.A.2D

Front

Write an equation for a proportional relationship where the constant of proportionality is 3.

Back

y = 3x.

Tags

CCSS.7.RP.A.2C

Front

What is the relationship between the slope of a line and proportional relationships?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.

Tags

CCSS.8.EE.B.5

Front

If the cost of 4 pounds of grapes is $24.36, how do you find the cost per pound?

Back

Divide the total cost by the number of pounds: $24.36 / 4 = $6.09 per pound.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Which of the following represents a proportional relationship: y = 2x + 3 or y = 2x?

Back

y = 2x represents a proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

What is the graphical representation of a proportional relationship?

Back

A straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D