Proportional vs Nonproportional Tables

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. As one quantity changes, the other does not change at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional table?

Back

A table is proportional if the ratio of the values in each row is the same, meaning the constant of proportionality is consistent.

Tags

CCSS.7.RP.A.2B

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 a table has a constant of proportionality of 4, what does that mean?

Back

It means that for every unit increase in x, y increases by 4 units.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a table is non-proportional?

Back

It means that the ratios of the values in the table are not consistent, indicating that the relationship between the quantities is not constant.

Tags

CCSS.7.RP.A.2A

Front

Example of a proportional table: (x,y) pairs: (1,2), (2,4), (3,6). Is this proportional?

Back

Yes, because the ratio of y to x is always 2.

Tags

CCSS.7.RP.A.2A

Front

Example of a non-proportional table: (x,y) pairs: (1,2), (2,5), (3,7). Is this proportional?

Back

No, because the ratios of y to x are not consistent.

Tags

CCSS.7.RP.A.2A

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Tags

CCSS.7.RP.A.2B

Front

If the constant of proportionality is 3, what is the value of y when x = 5?

Back

y = kx = 3 * 5 = 15.

Tags

CCSS.7.RP.A.2B