# 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 $y$ 3 2 1 0

 a. 1 b. $\frac{1}{2}$ c. $\frac{-1}{2}$ d. -1

92.
The points given in the table lie on the line. Find the slope of the line.
 $x$ - 1 0 1 2 3 4 $y$ 0 2 4 6 8 10

 a. $\frac{1}{2}$ b. 1 c. $\frac{1}{4}$ d. $\frac{-1}{2}$

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.

94.
The table shows the price of a computer. Find the rate of change in the price of the computer from 2000 to 2002.
 Year 1998 2000 2002 2004 Price ($) 920 860 860 800  a.$0 per year b. $60 per year c.$20 per year d. \$30 per year

95.
Which graph best suits the equation $y$ = $\frac{1}{2}$$x$?

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

96.
Which graph represents the equation $y$ = $\frac{-1}{3}x$ + 1?

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

97.
Which graph represents the equation $y$ = 2$x$ + 1?

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

99.
Which of the graphs best suits the equation $y$ = $\frac{-2}{3}$$x$ + 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.

100.
Which of the graphs best suits the equation $f$($x$) = 2$x$ -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.