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Graph Linear Functions Worksheet - Page 10

Graph Linear Functions Worksheet
  • Page 10
 91.  
The points given in the table lie on the line. Find the slope of the line.
x- 1- 2- 3- 4
y3210

a.
1
b.
1 2
c.
-1 2
d.
-1


Answer: (a)


Correct answer : (1)
 92.  
The points given in the table lie on the line. Find the slope of the line.
x- 101234
y0246810

a.
1 2
b.
1
c.
1 4
d.
-1 2


Answer: (a)


Correct answer : (1)
 93.  
The graph shows the relationship between Eddy′s earnings and the number of hours he works overtime. Interpret the meaning of the slope as a rate of change.


a.
Eddy earns $6 per each hour in overtime.
b.
Eddy earns $3 per each hour in overtime.
c.
Eddy earns $3 for his work in overtime.
d.
Eddy earns $6 for his work in the overtime.


Answer: (b)


Correct answer : (2)
 94.  
The table shows the price of a computer. Find the rate of change in the price of the computer from 2000 to 2002.
Year1998200020022004
Price ($)920860860800

a.
$0 per year
b.
$60 per year
c.
$20 per year
d.
$30 per year


Answer: (a)


Correct answer : (1)
 95.  
Which graph best suits the equation y = 1 2x?


a.
Graph 2
b.
Graph 3
c.
Graph 1
d.
Graph 4


Answer: (b)


Correct answer : (2)
 96.  
Which graph represents the equation y = -13x + 1?

a.
Graph 4
b.
Graph 2
c.
Graph 3
d.
Graph 1


Answer: (a)


Correct answer : (1)
 97.  
Which graph represents the equation y = 2x + 1?

a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4


Answer: (d)


Correct answer : (4)
 98.  
A bus is traveling at an average speed of 100 miles per hour. Which of the graphs represents the distance travelled by the bus with respect to time?.

a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4


Solution:

d = 100 t
[Original equation.]

d = 100(0)
[Substitute 0 for t.]

= 0
[Simplify.]

d = 100(1)
[Substitute 1 for t.]

= 100
[Simplify.]

d = 100(2)
[Substitute 2 for t.]

= 200
[Simplify.]

d = 100(3)
[Substitute 3 for t]

= 300
[Simplify.]


Represent the above data in tabular form, as shown below.

Among the choices, graph-2 suits the result.


Correct answer : (2)
 99.  
Which of the graphs best suits the equation y = -2 3x + 2?

a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4


Solution:

y = -23 x + 2
[Original equation.]

y = -23(0) + 2
[Substitute 0 for x.]

y = 2
[Simplify.]

y = -23(1) + 2
[Substitute 1 for x.]

y = 43
[Simplify.]

y = -23(2) + 2
[Substitute 2 for x.]

y = 23
[Simplify.]

y = -23(3) + 2
[Substitute 3 for x.]

y = 0
[Simplify.]

Among the choices, graph-2 satisfies the condition.


Correct answer : (2)
 100.  
Which of the graphs best suits the equation f(x) = 2x -1?


a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4


Solution:

f(x) = 2x - 1
[Original equation.]

f(x) = 2(0) - 1
[Substitute 0 for x.]

f(x) = -1
[Simplify.]

f(x) = 2(1) -1
[Substitute 1 for x.]

f(x) = 1
[Simplify.]

f(x) = 2(2) - 1
[Substitute 2 for x.]

f(x) = 3
[Simplify.]

Among the choices, graph 3 suits the equation.


Correct answer : (3)

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