Proportional Relationships - 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 tell if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table does not show a proportional relationship?

Back

If a table does not show a proportional relationship, the ratios of corresponding values are not equal.

Tags

CCSS.7.RP.A.2A

Front

If 10 roses cost $30, how much do 30 roses cost?

Back

$90

Tags

CCSS.6.RP.A.3B

Front

What is the rate of change in a proportional relationship?

Back

The rate of change is the constant ratio between the two quantities in a proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

If a table shows the relationship between hours worked and money earned, what does a proportional relationship indicate?

Back

It indicates that for every hour worked, the amount earned increases by a constant amount.

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 y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

If a table shows the values (2, 4), (4, 8), and (6, 12), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratio of y to x is constant (2).

Tags

CCSS.7.RP.A.2A

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a table showing the values (1, 2), (2, 5), (3, 7), where the ratios are not constant.

Tags

CCSS.7.RP.A.2A

Front

How do you calculate the total cost if the cost per item is known?

Back

Total cost = cost per item × number of items.

Tags

CCSS.6.RP.A.3B