Common Core: 8th Grade Math : Graph Proportional Relationships, Interpreting the Unit Rate as the Slope: CCSS.Math.Content.8.EE.B.5

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #121 : Grade 8

Select the equation that shows the lowest unit rate. 

Possible Answers:

Correct answer:

Explanation:

Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

 is always the slope, and  is the -intercept. 

We are looking for the equation with the lowest unit rate, or slope. Based on our options  is the lowest value of ; thus our correct answer is 

Example Question #122 : Grade 8

Select the equation that shows the lowest unit rate. 

Possible Answers:

Correct answer:

Explanation:

Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

 is always the slope, and  is the -intercept. 

We are looking for the equation with the lowest unit rate, or slope. Based on our options  is the lowest value of ; thus our correct answer is 

Example Question #21 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Select the equation that shows the greatest unit rate. 

Possible Answers:

Correct answer:

Explanation:

Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

 is always the slope, and  is the -intercept. 

We are looking for the equation with the greatest unit rate, or slope. Based on our options,  is the greatest value of ; thus, our correct answer is 

Example Question #22 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Select the graph with the greatest unit rate. 

Possible Answers:

Graph A

Screen shot 2016 03 08 at 2.14.15 pm

Graph D


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Graph B

Screen shot 2016 03 08 at 2.11.02 pm

Graph C


Screen shot 2016 03 08 at 2.32.23 pm

Correct answer:

Graph B

Screen shot 2016 03 08 at 2.11.02 pm

Explanation:

The highest unit rate means that the slope is the highest. So, first we ned to solve for our slopes. 

To solve for the slope we can use the following formula:

Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.  

Graph A

Points:  and 

Slope: 

Graph B

Points:  and 

Slope: 

Graph C

Points:  and 

Slope: 

Graph D

Points:  and 

Slope: 

We are looking for the graph with the greatest slope, or unit rate; thus, our correct answer is Graph B. 

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