Constant of Proportionality (tables, graphs, word problems)

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two quantities that are proportional to each other.

Tags

CCSS.7.RP.A.2B

Front

How can you find the constant of proportionality in a table?

Back

You can find the constant of proportionality by dividing the y-value by the corresponding x-value for any pair of values in the table.

Tags

CCSS.7.RP.A.2B

Front

What is the unit rate?

Back

The unit rate is the constant of proportionality expressed as a ratio of two quantities where the second quantity is 1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 1.5 cups of flour per cup of sugar.

Tags

CCSS.7.RP.A.2B

Front

What does a graph of a proportional relationship look like?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when the relationship between x and y is not constant, such as y = 2x + 3.

Tags

CCSS.7.RP.A.2A

Front

How do you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the line on the graph is straight and passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality if 30 miles are driven in 1 hour?

Back

The constant of proportionality is 30 miles per hour.

Tags

CCSS.7.RP.A.2B

Front

If the constant of proportionality is 4, what does this mean in a real-world context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 4 units.

Tags

CCSS.7.RP.A.2B

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Tags

CCSS.7.RP.A.2B