Algebraic Connections
Name: ___________________________________________
H.01 WS – Interpreting Qualitative Graphs
Date: __________
Distance
Distance
Distance
Distance
Each sentence tells how far a person is form an object. Choose the graph that shows the person’s distance
from the object as time goes by.
Graph A
Graph C
Graph D
Graph B
Time
Time
Time
Time
1. Hugo walked away from the car at a steady pace. ____________
2. Mary walked toward the redwood tree at a steady pace. _____________
3. Nancy first ran toward the slide and then away from it. ____________
Distance
Graph for #7.
4. We walked at a steady pace toward the museum. ____________
Time
5. My sister ran away from the museum but came back when my parents called her. _____________
6. After visiting the museum, we raced down the hill away from the museum. (Be careful here.)
___________
7. If the statement was “My father stood for a very long time in front of a painting”, draw a graph.
In the questions 1 – 7, the independent variable is Time and the dependent variable is Distance. As the time
passes, the distance from the object increases, decreases or stays the same.
For each set of graphs, choose the one that best matches the situation.
8. A hot piece of aluminum foil cools to the temperature of the room. ___________
Time
Time
Algebraic Connections – H.01 WS – Interpreting Qualitative Graphs
Graph D
Temperature
Graph C
Temperature
Graph B
Temperature
Temperature
Graph A
Time
Time
page 1
9. A boy raises a book above his head and then lets the book fall to the floor. ___________
Graph A
Height
Time
Time
Graph D
Height
Graph C
Height
Height
Graph B
Time
Time
Indicate which graph matches the statement. In each case the independent variable is Time. For each
graph indicate the dependent variable.
10. A train pulls into a station and lets off its passengers. ___________ Dependent Variable:
______________
Time
Graph D
Time
Speed
Graph C
Speed
Graph B
Speed
Speed
Graph A
Time
Time
11. A man takes a ride on a Ferris wheel. ___________ Dependent Variable: ______________
Distance from
Ground
Distance from
Ground
Time
Graph C
Time
Graph D
Distance from
Ground
Graph B
Distance from
Ground
Graph A
Time
Time
12. A woman climbs a hill at a steady pace and then starts to run down one side. ___________
Dependent Variable: ______________
Time
Time
Algebraic Connections – H.01 WS – Interpreting Qualitative Graphs
Graph D
Distance
Graph C
Distance
Graph B
Distance
Distance
Graph A
Time
Time
page 2
Graph B
Time
Graph C
Time
Graph D
Distance from
Ground
Distance from
Ground
Graph A
Distance from
Ground
Distance from
Ground
13. A child swings on a swing and then jumps out to the ground. ______ Dependent Variable:
_____________
Time
Time
14. A child climbs up a slide and then slides down. ___________ Dependent Variable: ______________
Time
Graph C
Time
Graph D
Distance from
Ground
Distance from
Ground
Graph B
Distance from
Ground
Distance from
Ground
Graph A
Time
Time
Indicate which graph matches the statement. For each graph indicate the independent and dependent
variable.
15. The farther the car goes, the more gas it uses. ___________ Independent Variable: ____________
Distance
Distance
Graph C
Amount of Gas
Graph B
Amount of Gas
Graph A
Amount of Gas
Amount of Gas
_______________ Dependent Variable: ____________________________
Distance
Graph D
Distance
16. As the length of the side of a square increases, its area increases. ____________
Independent Variable: _________________________ Dependent Variable:
_________________________
Side Length
Side Length
Algebraic Connections – H.01 WS – Interpreting Qualitative Graphs
Graph D
Area
Graph C
Area
Graph B
Area
Area
Graph A
Side Length
Side Length
page 3