﻿ Graph Linear Functions Worksheet - Page 5 | Problems & Solutions

# Graph Linear Functions Worksheet - Page 5

Graph Linear Functions Worksheet
• Page 5
41.
Identify the equation that represents the table.
 $x$ 6 9 12 15 $y$ 4 5 6 7
 a. $y$ = 3$x$ - 1 b. $y$ = 3($x$ + 1) c. $y$ = $x$ + 2 d. $y$ = $\frac{x}{3}$ + 2

#### Solution:

On observing the table it is found that 4 = 6 / 3 + 2, 5 = 9 / 3 + 2, 6 = 12 / 3 + 2, 7 = 15 / 3 + 2.

So, the equation that represents the table is y = x / 3 + 2.

42.
Identify the graph that suits the table.
 $x$ - 1 - 2 - 3 - 4 $y$ 3 2 1 0

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

#### Solution:

Plot the graph by taking x, y values given in the table.

The graph matches with Graph 2.

So, among the given graphs, Graph 2 suits the table.

43.
Which graph suits the table?
 $x$ - 2 - 1 0 1 2 $y$ - 2 - 1 0 1 2

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

#### Solution:

Plot the graph by taking x, y values given in the table.

The graph matches with Graph 1.

Among the graphs, Graph 1 best suits the table.

44.
Which graph best suits the equation $y$ = 2$x$?

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

#### Solution:

y = 2x
[Original equation.]

y = 2(- 2) = - 4
[Sustitute - 2 for x.]

y = 2(- 1) = - 2
[Sustitute - 1 for x.]

y = 2(0) = 0
[Sustitute 0 for x.]

y = 2(1) = 2
[Sustitute 1 for x.]

y = 2(2) = 4
[Sustitute 2 for x.]

Plot the graph for the above values of x and y.

Among the graphs, Graph 2 suits the equation.

45.
Identify the table that suits the graph.

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

#### Solution:

From the graph,
Value of y for x = - 2 is - 1.5
Value of y for x = - 1 is - 0.5
Value of y for x = 0 is 0.5
Value of y for x = 1 is 1.5
Value of y for x = 2 is 2.5

Table 4 matches with the values.

So, the table that suits the graph is Table 4.

46.
Which of the tables represents the graph?

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

#### Solution:

From the graph,
Value of y for x = 0 is 12
Value of y for x = 1 is 8
Value of y for x = 2 is 4
Value of y for x = 3 is 0.

Table 2 matches with the values.

So, the table that suits the graph is Table 2.

47.
Identify the table that suits the graph.

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

#### Solution:

From the graph,
Value of y for x = - 3 is 2
Value of y for x = - 1 is 4
Value of y for x = 0 is 5
Value of y for x = 1 is 6
Value of y for x = 3 is 8.

Table 3 matches with the values.

So, the table that suits the graph is Table 3.

48.
Which of the tables represents the graph?

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

#### Solution:

From the graph,
Value of y for x = - 10 is - 10
Value of y for x = - 6 is - 6
Value of y for x = - 2 is - 2
Value of y for x = 2 is 2
Value of y for x = 6 is 6.

Table 4 matches with the values.

So, the table that suits the graph is Table 4.

49.
Identify the table that suits the graph.

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

#### Solution:

From the graph,
Value of y for x = 2 is 4
Value of y for x = 4 is 2
Value of y for x = 5 is 1
Value of y for x = 6 is 0.

Table 2 matches with the values.

So, the table that suits the graph is Table 2.

50.
Identify the graph that suits the table.
 $x$ - 2 - 1 0 1 2 $y$ 2 1 0 - 1 - 2

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

#### Solution:

Plot the graph by taking x and y values given in the table.

The graph matches with Graph 1.

So, among the graphs, Graph 1 suits the table.