Qualitative relationships between two variables

Which intervals of the graph show an increase in speed (acceleration)? Choose all the apply.

• AB

• BC

• CD

• DE

Which interval of the graph shows a constant speed?

• AB

• BC

• CD

• DE

Which interval of the graph shows the greatest increase in speed? (hint: largest slope)

• AB

• BC

• CD

• DE

Which graph shows a definite change in direction?

HINT: you MUST look at how each axis is labeled!

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• 

Which graph shows someone traveling up a hill and then down a hill?

• Graph A

• Graph B

• Both graphs

• Neither graph

The graph shows Jack's distance from his home compared to time. Which scenario could best fit the graph?

• Jack leaves his home, walking up a hill behind his house. He stops and takes a break, then continues up the hill until he reaches the top. He then continues down the other side.

• Jack and his dog leave the house jogging. They stop at the dog park for a while and then continue on around the block for a short distance before turning around and running back home.

• Jack leaves his house and starts his daily run by picking up speed. He then holds a constant speed for a little while before he begins to accelerate even more. He suddenly feels a leg cramp and very quickly slows down to a stop.

Which portion of the graph shows the greatest speed?

• AB

• BC

• CD

• DE

The graph shows Rosie's speed compared to time. Which scenario best fits the graph?

• Rosie sets off quickly on a run picking up speed before she holds a constant speed for a while. She then begins to slow down and then stops completely.

• Rosie ran up a hill, walked across the top, and then walked back down to the other side.

• Rosie left home walking fast, stopped to buy an ice cream cone, then walked at a slower pace back to her house.

• Rosie increases speed slowly, then holds a constant speed, then decreases her speed quickly, coming to a complete stop.

The graph shows the amount of gasoline in the tank of a car over time. Which interval of the graph most likely represents the time the car was at the gas station being refueled?

• UV

• VW

• WX

• XY

• YZ

The graph shows the amount of gasoline in the tank of a car over time. Which interval most likely represents the car being parked and turned off?

• UV

• VW

• WX

• XY

• YZ