Graph Linear Functions Worksheet

**Page 7**

61.

The graph shows how quickly a swimmer expends calories. Which equation best represents the data in the graph?

a. | C$t$ = 10 | ||

b. | C = 10$t$ | ||

c. | $t$ = 10C | ||

d. | C = 100$t$ |

Correct answer : (2)

62.

Which of the following equations is not a linear equation?

a. | 25$z$ = 29 | ||

b. | 2 - 3$x$ = 4$x$ | ||

c. | 3$x$ + 5 = 47$x$ | ||

d. | ($x$ - 8) ^{3} = 66 |

In the equation (

So, (

Correct answer : (4)

63.

Which of the following equations is not a linear equation?

a. | 7$x$ = 12$x$ + 46 | ||

b. | $x$ - 5$x$ - 6 = 0 | ||

c. | $x$ ^{2} - 5$x$ - 6 = 0 | ||

d. | 7$x$ = 121 |

In the equation

So,

Correct answer : (3)

64.

Which is a linear function?

a. | $x$ + $y$ - 7 = 0 | ||

b. | $y$ ^{2} = 4$x$ | ||

c. | 4$y$ - ($\frac{21}{\mathrm{x}}$) = 1 | ||

d. | 2$x$$y$ - 1 = 0 |

[Keep 'y' on one side, bring the rest to the other side.]

4

2

So,

Correct answer : (1)

65.

Identify the graph that represents a linear model.

a. | Graph 1 | ||

b. | Graph 3 | ||

c. | Graph 2 | ||

d. | Graph 4 |

Graph 4 is a straight line.

So, Graph 4 represents a linear model.

Correct answer : (4)

66.

Identify the graph that represents a non-linear model.

a. | Graph 2 | ||

b. | Graph 4 | ||

c. | Graph 1 | ||

d. | Graph 3 |

Graphs 1, 2, and 3 are straight lines.

Therefore, Graphs 4 represents a non-linear model.

Correct answer : (2)

67.

Identify the table that represents a non-linear function.

a. | Table 2 | ||

b. | Table 1 | ||

c. | Table 3 | ||

d. | Table 4 |

In the tables 1, 2 and 4,

In the table 3,

Therefore, Table 3 represents a non-linear function.

Correct answer : (3)

68.

A train is traveling at an average speed of 100 miles per hour. Which of the graphs represents the distance traveled by the train with respect to time?

a. | Graph 2 | ||

b. | Graph 3 | ||

c. | Graph 1 | ||

d. | Graph 4 |

[Original equation.]

At

At

At

At

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

Among the choices, Graph 2 suits the result.

Correct answer : (1)

69.

Steven bought a watch for $40. Which graph shows the relationship between the number of watches bought and the total cost?

a. | Graph 2 | ||

b. | Graph 4 | ||

c. | Graph 1 | ||

d. | Graph 3 |

[Original equation.]

At

At

At

At

At

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

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

Output ( | 40 | 80 | 120 | 160 | 200 |

Among the choices, Graph 2 suits the result.

Correct answer : (1)

70.

A worker earns $25 per hour in a company. Which graph shows the relationship between the number of hours and the amount earned?

a. | Graph 3 | ||

b. | Graph 1 | ||

c. | Graph 4 | ||

d. | Graph 2 |

[Original equation.]

At

At

At

At

At

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

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

Output ( | 25 | 50 | 75 | 100 | 125 |

Among the choices, Graph 1 suits the result.

Correct answer : (2)