Proportional or NOT?

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. For example, if y is directly proportional to x, then y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2A

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. This means that 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 relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0). If the line does not pass through the origin, it is not proportional.

Tags

CCSS.7.RP.A.2D

Front

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

Back

A table of values is proportional if the ratios of corresponding values are constant. For example, if the ratio of y to x is the same for all pairs, the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities. It can be found by dividing one quantity by the other.

Tags

CCSS.7.RP.A.2B

Front

Example of a proportional relationship: If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles. (60 miles/hour * 3 hours = 180 miles) This shows a proportional relationship.

Tags

CCSS.7.RP.A.2A

Front

Example of a non-proportional relationship: If a person earns $10 for the first hour and $15 for each additional hour, is this proportional?

Back

No, this is non-proportional because the earnings do not maintain a constant ratio as hours increase.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the constant of proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

If a graph shows a line that does not pass through the origin, what can you conclude?

Back

You can conclude that the relationship represented by the graph is not proportional.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if a situation is proportional?

Back

To determine if a situation is proportional, check if the ratio of the two quantities remains constant as one quantity changes.

Tags

CCSS.7.RP.A.2A