Common Core: 8th Grade Math : Describe Qualitatively the Functional Relationship Between Two Quantities by Analyzing a Graph: CCSS.Math.Content.8.F.B.5

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

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Example Questions

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Example Question #1 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

1

Based on the graph, what is likely occurring between the  and the  period of the race?  

Possible Answers:

The race car driver s decreasing his speed

The race car driver is increasing his speed

The race car driver is driving at a consistent speed 

The race car driver is waiting to begin the race

Correct answer:

The race car driver is driving at a consistent speed 

Explanation:

The time is displayed along the x-axis of the provided graph. Between the  and the  period of the race, the driver is going  at each time point. We can see from the straight line between those two points that the race car driver's speed doesn't change; thus, the race car driver is driving at a consistent speed. 

Example Question #2 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

1

Based on the graph, what is likely occurring during the last  of the race?  

Possible Answers:

The race car driver is increasing his speed

The race car driver is waiting to begin the race

The race car driver is decreasing his speed

The race car driver is driving at a consistent speed 

Correct answer:

The race car driver is decreasing his speed

Explanation:

The time is displayed along the x-axis of the provided graph. During the last  of the race, the driver goes from , displayed on the y-axis of the graph, to . We can see the line between those two points is decreasing in a negative direction, or getting slower; thus, the race car driver is decreasing his speed. 

Example Question #3 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

1

Based on the graph, what is likely occurring in the first  of the race?  

Possible Answers:

The race car driver is increasing his speed

The race car driver is waiting to begin the race

The race car driver is decreasing his speed

The race car driver is driving at a consistent speed 

Correct answer:

The race car driver is increasing his speed

Explanation:

The time is displayed along the x-axis of the provided graph. During the first  of the race, the driver goes from , displayed on the y-axis of the graph, to . We can see the line between those two points is increasing in a positive direction, or getting faster; thus, the race car driver is increasing his speed. 

Example Question #4 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

1

Based on the graph, what is likely occurring when the time is at   

Possible Answers:

The race car driver is waiting to begin the race

The race car driver is decreasing his speed

The race car driver is driving at a consistent speed 

The race car driver is increasing his speed

Correct answer:

The race car driver is waiting to begin the race

Explanation:

When the time is at , displayed along the x-axis, we see that the speed, displayed along the y-axis is also . If a car has a speed of , the car is not moving. And if the time is at , the race has not started; thus, the race car driver is waiting to begin the race. 

Example Question #1 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

2

Based on the graph, what is likely occurring in the first  of the race? 

Possible Answers:

The race car driver is driving at a consistent speed

The race car driver is increasing his speed

The race car driver is waiting to begin the race

The race car driver is decreasing his speed

Correct answer:

The race car driver is increasing his speed

Explanation:

The time is displayed along the x-axis of the provided graph. During the first  of the race, the driver goes from , displayed on the y-axis of the graph, to . We can see the line between those two points is increasing in a positive direction, or getting faster; thus, the race car driver is increasing his speed. 

Example Question #2 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

2

Based on the graph, what is likely occurring between the  and the  period of the race?  

Possible Answers:

The race car driver is waiting to begin the race

The race car driver is decreasing his speed

The race car driver is driving at a consistent speed 

The race car driver is increasing his speed

Correct answer:

The race car driver is driving at a consistent speed 

Explanation:

The time is displayed along the x-axis of the provided graph. Between the  and the  period of the race, the driver is going  at each time point. We can see from the straight line between those two points that the race car driver's speed doesn't change; thus, the race car driver is driving at a consistent speed.

Example Question #3 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

2

Based on the graph, what is likely occurring in the last  of the race? 

Possible Answers:

The race car driver is waiting to begin the race

The race car driver is decreasing his speed

The race car driver is increasing his speed

The race car driver is driving at a consistent speed 

Correct answer:

The race car driver is decreasing his speed

Explanation:

The time is displayed along the x-axis of the provided graph. During the last  of the race, the driver goes from , displayed on the y-axis of the graph, to . We can see the line between those two points is decreasing in a negative direction, or getting slower; thus, the race car driver is decreasing his speed. 

Example Question #8 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

2

Based on the graph, what is likely occurring when the time is at   

Possible Answers:

The race car driver is driving at a consistent speed

The race car driver is waiting to begin the race

The race car driver is increasing his speed

The race car driver is decreasing his speed

Correct answer:

The race car driver is waiting to begin the race

Explanation:

When the time is at , displayed along the x-axis, we see that the speed, displayed along the y-axis is also . If a car has a speed of , the car is not moving. And if the time is at , the race has not started; thus, the race car driver is waiting to begin the race. 

Example Question #9 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

3

Based on the graph, what is likely occurring in the first  of the race?  

Possible Answers:

The race car driver is waiting to begin the race

The race car driver is increasing his speed

The race car driver is decreasing his speed

The race car driver is driving at a consistent speed 

Correct answer:

The race car driver is increasing his speed

Explanation:

The time is displayed along the x-axis of the provided graph. During the first  of the race, the driver goes from , displayed on the y-axis of the graph, to . We can see the line between those two points is increasing in a positive direction, or getting faster; thus, the race car driver is increasing his speed. 

Example Question #10 : Describe Qualitatively The Functional Relationship Between Two Quantities By Analyzing A Graph: Ccss.Math.Content.8.F.B.5

The graph provided displays the speed of a race car during a race. 

2

Based on the graph, what is likely occurred between the  and  part of the race? 

Possible Answers:

The race car driver stopped

The race car driver increased his speed

The race car driver finished the race

The race car driver slowed down

Correct answer:

The race car driver slowed down

Explanation:

Between the  and  part of the race, the race car driver decreases his speed from  to . If we look pasted this point on the graph, we see that he speeds back up and continue with the race, so the race didn't not end. He also didn't stop, because his speed never hit ; thus, he must have had to slow down for some reason, but then resumed the race.

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