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WorksheetsLinear Relationships
Total questions: 20
Worksheet time: 20mins
What is the constant of proportionality between the number of pages read and the number of hours spent reading?
45 pages per hour
90 pages per hour
135 pages per hour
270 pages per hour
If a line was drawn through the points, why would this line show a proportional relationship?
It is not curved
It is a vertical line
It connects all the dots
It goes through the origin
What is the constant of proportionality for the relationship on the graph?
3.5
7
8
28
Which equation matches the graph?
y = 1/3x + 3
y = 3x
y = x +3
y = 3x + 3
4
10.75
11.75
12.75
12
13
14
18
What can you use to represent linear relationships?
verbal descriptions
equations
graphs
tables
all of the above
What is the rate of change for the following graph?
80
20
40
160
Jacob’s parents have allowed him to get a cell phone but he must pay his own cell phone bill. He pays a flat rate of $35 a month and 50¢ for every minute he talks on the phone. If c represents the total cost of the bill and m represents minutes talking on the phone, which equation best fits the situation?
c = 5m + 35
c = 3.5m + 50
c = 0.5m + 35
c = 35 + 100 + 0.5
A student spends the same amount each week for bus fare. In 5 weeks, he spends $115. Which equation shows this relationship? Let x = number of weeks.
y = 3.22x
y = 5x
y = 23x
y = 115x
An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?
C = 25 + 40h
C = 65 + h
C= 65h
C = 25h + 40
Does this graph show a proportional relationship?
Yes, because it is linear
Yes, because it is linear and goes through the origin.
No, because it is not linear
No, because it does not go through the origin.
Sally will earn $30 for every 5 hours that she babysits. Which of the following equations can be used to represent the proportional relationship?
y = 1/6x +30
y = 6x
y = 5x + 6
y = 6x +5
Proportional relationships must go through the origin. (0,0)
True
False
Which line shows a proportional relationship between x and y?
Line L
Line M
A machine can make 14,400 screws in 8 hours. A second machine can make twice as many screws per hour. What is the constant of proportionality between the number of screws and the number of minutes for the second machine?
90 screws per minute
180 screws per minute
60 screws per minute
3,600 screws per minute
Which equation matches the table?
y = x + 5
y = 5x
y = x - 5
x = y - 5
What is the equation for the table?
y =1/4x -3
y =4x - 3
y = -3x -3
y =-2x -3
Which of the graphs shown match the table?
A) Graph 1
B) Graph 2
C) Graph 3
D) Graph 4
Which statement below accurately represents the graph?
$100 is earned for each hour worked
$100 is earned for every 2 hours worked
$500 is earned for every 8 hours worked
$200 is earned for every 3 hours worked
