﻿ Graph Linear Functions Worksheet - Page 8 | Problems & Solutions # 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) 1 2 3 4 5 Output (n) 10 20 30 40 50

Among the choices, Graph 4 suits the result.

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) 1 2 3 4 5 Output (c) 3 6 9 12 15 Among the choices, Graph 3 suits the result. Correct answer : (4) 73. Find the slope of the line AB in the graph.  a. $\frac{1}{3}$ b. $\frac{1}{2}$ c. 1 d. None of the above #### Answer: (c) Correct answer : (3) 74. Find the slope of the line in the graph.  a. - $\frac{1}{3}$ b. 2 c. $\frac{1}{3}$ d. - 2 #### Answer: (a) Correct answer : (1) 75. Find the slope of the line in the graph.  a. $\frac{3}{2}$ b. - $\frac{2}{3}$ c. - $\frac{1}{3}$ d. $\frac{2}{3}$ #### 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

 Number of pens 1 2 3 4 5 6 Cost ($) 0.5 1 1.5 2 2.5 3  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 + $3$n$, 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 donÃ¢â‚¬â„¢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