Number of Extra Hours ( | 1 | 2 | 3 |

Total Earnings ( | 90 | 110 | 130 |

Step: 1

Linear equation in intercept form is y = a + b x , where b is the rate of change and a is the y - intercept.

Step: 2

The input variable x is the number of extra hours and the output variable y gives the total earnings of John per day.

Step: 3

Change in output values = 20

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h n a g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 2 0 1 = 20

Step: 6

Working backwards with the values in the table, we get (0, 70).

Step: 7

So, the linear equation that satisfies the table is y = 20x + 70.

[Substitute rate of change and y - intercept values.]

Correct Answer is : y = 20x + 70

Number of Days ( | 1 | 2 | 3 | 4 |

Cost in Dollars ( | 11 | 14 | 17 | 20 |

Step: 1

Linear equation in intercept form is y = a + b x , where b is the rate of change and a is the y - intercept.

Step: 2

The input variable x is the number of days and the output variable y is the cost.

Step: 3

Change in output values = 3

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h a n g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 3 1 = 3

Step: 6

Working backwards with the values in the table, we get (0, 8).

Step: 7

So, the linear equation that satisfies the table is y = 3x + 8.

[Substitute rate of change and y - intercept values.]

Correct Answer is : y =3 x + 8

Number of additional products ( | 1 | 2 | 3 |

Total Earnings ( | 170 | 200 | 230 |

Step: 1

Linear equation in intercept form is y = a + b x , where b is the rate of change and a is the y - intercept.

Step: 2

The input variable x is the number of extra products and the output variable y gives the total earnings of John per day.

Step: 3

Change in output values = 30

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h a n g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 3 0 1 = 30

Step: 6

Working backwards with the values in the table, we get (0, 140).

Step: 7

So, the linear equation that satisfies the table is y = 30x + 140.

[Substitute rate of change and y - intercept values.]

Correct Answer is : y = 30x + 140

Sales Worth ( | 100 | 200 | 300 | 400 |

Salary in Dollars ( | 187 | 194 | 201 | 208 |

Step: 1

Step: 2

The input variable x is the sales worth and the output variable y is the salary.

Step: 3

Change in output values = 7

Step: 4

Change in input values = 100

Step: 5

Rate of change = c h n a g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 7 1 0 0 = 0.07

Step: 6

Working backwards with the values in the table, we get (0, 180).

Step: 7

So, the linear equation that satisfies the table is y = 0.07x + 180.

[Substitute rate of change and y - intercept values.]

Correct Answer is : y = 0.07x + 180

Number of Hours ( | 1 | 2 | 3 | 4 |

Distance in miles ( | 51 | 72 | 93 | 114 |

Step: 1

Step: 2

The input variable x is the number of hours and the output variable y is Nick's earnings.

Step: 3

Change in output values = 21

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h a n g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 2 1 1 = 21

Step: 6

Working backwards with the values in the table, we get (0, 30).

Step: 7

So, the linear equation that satisfies the table is y = 21x + 30.

Correct Answer is : y = 21x + 30

Number of Days ( | 1 | 2 | 3 | 4 |

Cost in Cents ( | 26 | 36 | 46 | 56 |

Step: 1

Step: 2

The input variable x is the number of days and the output variable y is the cost.

Step: 3

Change in output values = 10

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h a n g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 1 0 1 = 10

Step: 6

Working backwards with the values in the table, we get (0, 16).

Step: 7

So, the linear equation that satisfies the table is y = 10x + 16.

[Substitute rate of change and y - intercept values.]

Correct Answer is : y = 10x + 16

Number of Days ( | 1 | 2 | 3 | 4 |

Cost in Dollars ( | 7 | 9 | 11 | 13 |

Step: 1

Step: 2

The input variable x is the number of days and the output variable y is the cost.

Step: 3

Change in output values = 2

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h a n g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 2 1 = 2

Step: 6

Working backwards with the values in the table, we get (0, 5).

Step: 7

So, the linear equation that satisfies the table is y = 2x + 5

[Substitute rate of change and y - intercept values.]

Correct Answer is : y = 2x + 5

Number of Hours ( | 1 | 2 | 3 | 4 |

Earnings in Dollars ( | 31 | 34 | 37 | 40 |

Step: 1

Step: 2

The input variable x is the number of hours and the output variable y is the waiter's earnings.

Step: 3

Change in output values = 3

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h n a g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 3 1 = 3

Step: 6

Working backwards with the values in the table, we get (0, 28).

Step: 7

So, the linear equation that satisfies the table is y = 3x + 28.

Correct Answer is : y = 3x + 28

Number of Days ( | 1 | 2 | 3 | 4 |

Cost in Cents ( | 44 | 50 | 56 | 62 |

Step: 1

Step: 2

The input variable x is the number of days and the output variable y is the cost.

Step: 3

Change in output values = 6

Step: 4

Change in input values = 1

Step: 5

Rate of change = c h a n g e i n o u t p u t v a l u e s c h a n g e i n i n p u t v a l u e s = 6 1 = 6

Step: 6

Working backwards with the values in the table, we get (0, 38).

Step: 7

So, the linear equation that satisfies the table is y = 6x + 38.

[Substitute rate of change and y - intercept values.]

Correct Answer is : y = 6x + 38

Step: 1

Linear equation in intercept form is y = a + bx , where b is the rate of change and a is the y - intercept.

Step: 2

The input variable x is the number of days and the output variable y is the cost.

Step: 3

Change in output values = 25

Step: 4

Change in input values = 1

Step: 5

Rate of change = Change in output values Change in input values = 2 5 1 = 25

Step: 6

Working backwards with the values in the table, we get (0, 50). So, the y -intercept is 50.

Step: 7

So, the linear equation that satisfies the table is y = 25x + 50.

Correct Answer is : y = 25x + 50

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