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

Identify the equation that does NOT represent a proportional relationship: y = -2x, y = 1/2 x, y = 3x, y = 5x - 7.

Back

y = 5x - 7 (because it does not pass through the origin).

Tags

CCSS.7.RP.A.2D

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate for 405 rotations in 5 minutes?

Back

81 rotations per minute (405 ÷ 5 = 81).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of the corresponding values are constant.

Tags

CCSS.7.RP.A.2A

Front

What is the unit rate for 20 cups of flour needing 16 tablespoons of honey?

Back

The unit rate is 0.8 tablespoons of honey per cup of flour (16 ÷ 20 = 0.8).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you tell if a relationship is proportional from a graph?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented as 'k'.

Tags

CCSS.7.RP.A.2B

Front

If the cost of 4 apples is $2.00, what is the unit rate per apple?

Back

$0.50 per apple ($2.00 ÷ 4 = $0.50).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

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

Tags

CCSS.7.RP.A.2A