CUS Time in Seconds Intensified Algebra & Rate of Change Question

2/10/2021Agile Mind
Unit 3 Assessment
Feb 10, 8:00am – Feb 11, 2021, 2:00pm
Given by Cameron Sume for Intensified Algebra I
Unit 3: Rate of change
1 2 3 4 5 6 7
End-of-unit assessment, Automatically scored
MCSA
Unit 3: Rate of change End-of-unit assessment, Automatically scored (page 1)
Number of T-shirts
Total cost of T-shirts in dollars
1
10
2
15
3
20
4
25
5
30
6
35
Which statement about the data in the table is true?
A. The data represent a proportional relationship, and the constant of proportionality is $10.
B. The data do not represent a proportional relationship, but the rate of change of the data is $5 per shirt.
C. There is not a constant rate of change for these data.
D. The data represent a proportional relationship, and the constant of proportionality is $5.
MCSA
Unit 3: Rate of change End-of-unit assessment, Automatically scored (page 2)
Which table of data could you collect by walking away from a motion detector at a constant rate?
Distance from
Time in seconds motion detector
in feet
A.
0
10
1
10
2
Distance from
Time in seconds motion detector
in feet
0
3
1
3
10
2
5
3
8
3
7
4
8
4
9
B.
Distance from
Time in seconds motion detector
in feet
C.
FIB
0
9
1
7
2
Distance from
Time in seconds motion detector
in feet
0
3
1
5
5
2
7
3
3
3
9
4
1
4
11
D.
Unit 3: Rate of change End-of-unit assessment, Automatically scored (page 3)
What is the rate of change shown by the data in the table?
Distance from
Time in seconds motion detector
in feet
The rate of change is
DND
0
3
1
5
2
7
3
9
4
11
A feet per second.
Unit 3: Rate of change End-of-unit assessment, Automatically scored (page 4)
Water is being pumped out of an aquarium. The table shows the amount of water in an aquarium in terms of time. What is the rate of change for these data?
Time (minutes) Amount of water (gallons)
0
110
15
80
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2/10/2021
Agile Mind
The rate of change is
Tiles:
Tile1
Tile3
Tile5
FIB
A
30
50
45
20
B .
−30
−2
minutes per gallon
Tile2
Tile4
Tile6
gallons per minute
−15
Unit 3: Rate of change End-of-unit assessment, Automatically scored (page 5)
Kim accidentally leaves the water hose running for half a day. The graph represents the loss of water during that time. Use the graph to
complete the following statement.
The rate at which water flows from the hose is
FIB
A gallons per hour.
Unit 3: Rate of change End-of-unit assessment, Automatically scored (page 6)
A group of campers hiked for several hours. The graph shows the groups’ distance from camp (in miles) in relation to the
number of minutes they had been hiking. Complete the table to show the groups’ rate of change during each segment of the
hike. You may enter your answer as a simplified fraction or a decimal rounded to the nearest hundredth.
Graph segment
Rate of change
A
DND
A miles per minute
B
B miles per minute
C
C miles per minute
D
D miles per minute
Unit 3: Rate of change End-of-unit assessment, Automatically scored (page 7)
Drag tiles to match each graph with the situation it could represent.
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2/10/2021
Agile Mind
Situation
Graph
A skater started very close to the motion detector and skated faster and faster as time passed.
A
A skater started out far away from the motion detector and very slowly came towards it a constant speed.
A skater started fairly close to the motion detector and then quickly moved away from it at a constant rate.
A skater moved away from the motion detector quickly, but slowed down more and more over time.
B
C
D
Tiles:
Tile1
Tile3
Tile5
e
c
d
Tile2
Tile4
Tile6
b
a
f
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