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 |

[Original equation.]

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

Input ( | 1 | 2 | 3 | 4 | 5 |

Output ( | 10 | 20 | 30 | 40 | 50 |

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 |

[Original equation.]

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

Input ( | 1 | 2 | 3 | 4 | 5 |

Output ( | 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 |

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 |

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. | $\frac{2}{3}$ |

Correct answer : (4)

76.

What is the $y$-intercept of the line shown in the graph?

a. | - 2 | ||

b. | - 3 | ||

c. | 2 | ||

d. | 3 |

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 |

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 pens | 1 | 2 | 3 | 4 | 5 | 6 |

Cost ($) | 0.50 | 1.00 | 1.50 | 2.00 | 2.50 | 3.00 |

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | Graph 4 |

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 |

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 |

Correct answer : (2)