To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Graph Linear Functions Worksheet - Page 8

Graph Linear Functions Worksheet
  • Page 8
 71.  
A machine produces 10 nuts per hour in a factory. Which graph shows the relationship between the number of hours and the nuts produced?

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


Solution:

Let n, t represent the nuts produced and the time respectively.

n = 10t
[Original equation.]

At t = 1, n = 10(1) = 10

At t = 2, n = 10(2) = 20

At t = 3, n = 10(3) = 30

At t = 4, n = 10(4) = 40

At t = 5, n = 10(5) = 50

Represent the above data in tabular form, as shown below.
Input (t)12345
Output (n)1020304050


Among the choices, Graph 4 suits the result.


Correct answer : (4)
 72.  
Kevin bought a hotdog for $3. Which graph shows the relationship between the number of hotdogs bought and the total cost?

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


Solution:

Let n, c represent the number of hotdogs bought and the total cost respectively.

c = 3n
[Original equation.]

At n = 1, c = 3(1) = 3

At n = 2, c = 3(2) = 6

At n = 3, c = 3(3) = 9

At n = 5, c = 3(5) = 15

At n = 4, c = 3(4) = 12

Represent the above data in tabular form, as shown below.
Input (n)12345
Output (c)3691215


Among the choices, Graph 3 suits the result.


Correct answer : (4)
 73.  
Find the slope of the line AB in the graph.

a.
1 3
b.
1 2
c.
1
d.
None of the above


Answer: (c)


Correct answer : (3)
 74.  
Find the slope of the line in the graph.


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


Answer: (a)


Correct answer : (1)
 75.  
Find the slope of the line in the graph.


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


Answer: (d)


Correct answer : (4)
 76.  
What is the y-intercept of the line shown in the graph?


a.
- 2
b.
- 3
c.
2
d.
3


Answer: (b)


Correct answer : (2)
 77.  
Rosa had a pair of jeans that worth $8. Which graph shows the relationship between the number of jeans and the total cost?

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


Answer: (a)


Correct answer : (1)
 78.  
The table shows the relationship between number of pens and its total cost. Which graph describes the relationship between the number of pens and its cost?
Number of pens123456
Cost ($)0.501.001.502.002.503.00



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


Solution:


Plot the graph by taking the values given in the table.

The graph matches with Graph 4.

Among the graphs, Graph 4 suits the table.


Correct answer : (4)
 79.  
Eddy works at an automobile servicing center. Each day he earns $27 and an additional of $3 for washing a car. His daily earnings are modeled by the equation, T = $27 + $3n, where T = total earnings, n = number of cars. Which of the following graphs best suits the situation?

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


Solution:

From the scatter plot, you can see that the data don’t lie close to a straight line.

So, a linear model is not appropriate.


Correct answer : (2)
 80.  
The graph shows the relationship between Eddy's earnings and the number of hours he works overtime. His daily wage is $27. If he earns $52.50 per day, how many hours does he work overtime?

a.
6 hours
b.
8.5 hours
c.
10.5 hours
d.
7 hours


Answer: (b)


Correct answer : (2)

*AP and SAT are registered trademarks of the College Board.