Graphing 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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, found by dividing one quantity by the other.

Tags

CCSS.7.RP.A.2B

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 15 gallons are used in 3 minutes, the unit rate is 15 gallons ÷ 3 minutes = 5 gallons per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a table shows a proportion?

Back

A table shows a proportion if the ratios of the quantities in the table are equivalent, meaning they have the same constant of proportionality.

Tags

CCSS.7.RP.A.2A

Front

How can you determine 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

If 5 gallons are used in 1 minute, how many gallons are used in 4 minutes?

Back

20 gallons (5 gallons/minute × 4 minutes = 20 gallons).

Tags

CCSS.6.RP.A.3B

Front

What is the unit rate for 15 gallons used in 3 minutes?

Back

5 gallons per minute (15 gallons ÷ 3 minutes = 5 gallons/minute).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the constant of proportionality is k = 75, what does this mean?

Back

It means that for every unit increase in one quantity, the other quantity increases by 75 times that unit.

Tags

CCSS.7.RP.A.2B

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

If a sloth travels 6 feet in 1 minute, how far will it travel in 5 minutes?

Back

30 feet (6 feet/minute × 5 minutes = 30 feet).

Tags

CCSS.6.RP.A.3B