Proportional Tables

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

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

Back

You can determine if a table represents a proportional relationship by dividing y by x for each pair of values. If the result is the same for all pairs, the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratio of y to x changes for different pairs of values.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

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

Back

An example of a proportional relationship is the cost of apples if each apple costs the same amount. For instance, if each apple costs $2, then 3 apples cost $6, 4 apples cost $8, etc.

Tags

CCSS.7.RP.A.2A

Front

What does a proportional graph look like?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not have a constant ratio.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is proportional?

Back

You can tell if a graph is proportional if it is a straight line that goes through the origin.

Tags

CCSS.7.RP.A.2D

Front

If a table shows the values (1,2), (2,4), (3,6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2 in this case).

Tags

CCSS.7.RP.A.2A