Proportional Relationships in Tables and Graphs

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

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2A

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often expressed as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

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

Back

A graph represents a proportional relationship if it 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 represented by a line that does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not constant.

Tags

CCSS.7.RP.A.2A

Front

How can you find the unit rate from a table?

Back

To find the unit rate from a table, divide the value of one quantity by the value of the other quantity when the second quantity is 1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant in proportional graphs because it indicates that when one quantity is zero, the other quantity is also zero.

Tags

CCSS.7.RP.A.2D