Unit 6: Showing Relationships with Graphs
END-OF-UNIT ASSESSMENT
Name: _________________
Date: __________ Period: ___
Teacher: ________________
Use the following six graphs for problems 1–3.
Graph 1
Graph 2
y
y
12
11
10
9
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6
5
4
3
2
1
x
12
11
10
9
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5
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2
1
x
1 2 3 4 5 6 7 8 9 10 11 12
Graph 4
y
y
3
2
1
x
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•
–2 –1
–2
Graph 3
–2 –1
–2
•
0
1 2 3 4 5 6 7 8 9 10 11 12
0
•
•
0
–2 –1
–2
•
•
1 2 3 4 5 6 7 8 9 10 11 12
•••
•
•
•••
•
•
••
• –1• 0• 1 2 3 4 5 6 7 8 9 10 11 12
• –2
3
2
1
x
–2
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End-of-Unit Assessment
y
Graph 5
Graph 6
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1
y
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•
•
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12
11
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9
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3
• 2
•
x
•
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–2
–3
–4
–5
–6
–7
–8
–9
–10
–11
–12
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0
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2 3 4 5 6 7 8 9 10
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x
1 2 3 4 5 6
1. a. Identify any of the graphs that represent proportional relationships.
b. Identify any of the graphs that are linear.
c. Identify any of the graphs that show data points that could be approximated with a
linear graph.
2. Identify which of the graphs could be used to represent each of the following situations.
a. Black beans are on sale for 25 cents a can.
b. Jamal’s grandmother walks at an approximate speed of 3 miles per hour.
c. A container holds 10 gallons of water but begins to leak at a rate of 1.2 gallons per hour.
d. Dry pinto beans are on sale for 25 cents a pound.
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End-of-Unit Assessment: Page 2 of 4
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End-of-Unit Assessment
3. a. Identify any graphs with a positive constant slope.
b. Identify any graphs with a negative constant slope.
c. Identify any graphs without a constant slope.
d. Identify any of the graphs that are parallel to each other.
4. Think about the linear graph through the following points:
x
–16
–6
2
6
10
y
–16
–3.5
6.5
11.5
16.5
a. Find the slope of the line through the points in the table.
b. Find the y-intercept of the line through the points in the table.
c. Use your answers to parts a and b to write the slope-intercept equation for the line.
d. Sketch a graph of the line to confirm that your equation in part c is correct.
5. Think about the following lines:
y = 4x
y=x
y = –2x + 4
y = –0.25x
y=x+4
1
1
x
y = –x + 4
y=x–4
y=– x+4
4
4
a. Sketch graphs of any parallel lines. Use a separate coordinate plane for each set of
parallel lines.
y = 2x – 4
y=
b. Each set of parallel lines has a line that is perpendicular. Find the perpendicular line and
sketch it on the same coordinate plane you used in part a.
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6. The following table shows the height of a plant in centimeters. The plant was first
measured when it was 5 days old. It was measured at the same time every day until it was
12 days old.
Day
5
6
7
8
9
10
11
12
Height (cm)
139.6
139.7
140.2
140.8
141.2
142.1
142.3
144.5
a. Sketch a graph to represent this data. Choose scales for the coordinate axes that make
the changes in quantities easy to see.
b. Which of the following interpretations of the plant’s growth are supported by your
graph in part a? (Choose all that apply.)
I. The plant grew at a relatively constant rate between days 5 and 12.
II. The plant’s growth jumped significantly between days 11 and 12.
III. The plant grew at a relatively constant rate between days 6 and 9.
IV. The plant grew very slowly at first.
V. The plant’s growth can be approximated by a linear graph.
VI. The plant’s growth is unpredictable.
VII. The plant’s growth is predictable.
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End-of-Unit Assessment: Page 4 of 4
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