Year | Number of girls |

1998 | 2400 |

1999 | 3000 |

Step: 1

Average rate of change = C h a n g e i n t h e n u m b e r o f g i r l s a d m i t t e d i n s c h o o l C h a n g e i n t i m e

Step: 2

= 3 0 0 0 - 2 4 0 0 1 9 9 9 - 1 9 9 8

Step: 3

= 600 per year

Step: 4

So, the number of girls admitted in the year 2003 is 2400 + 5(600) = 5400

Correct Answer is : 5400

Step: 1

Average rate of change = C h a n g e i n t h e a n n u a l i n c o m e C h a n g e i n t i m e

Step: 2

= 3 6 0 0 0 - 3 0 0 0 0 1 9 9 8 - 1 9 9 6

Step: 3

= 6 0 0 0 2 = $3000 per year

Step: 4

So, the annual income of Jeff in the year 2004 is $(30,000 + 8(3,000)) = $54,000

Correct Answer is : $54,000

Input( | - 1.2 | 0 | 0.6 | 1.5 | 2.4 | 3.1 | 3.6 |

Output( | 3.2 | 2 | 1.4 | 0.5 | - 0.4 | - 1.1 | - 1.6 |

Step: 1

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

Step: 2

Input | Output | Change in input values | Change in output values | Rate of change |

- 1.2 | 3.2 | |||

0 | 2 | 1.2 | - 1.2 | - 1 |

0.6 | 1.4 | 0.6 | - 0.6 | - 1 |

1.5 | 0.5 | 0.9 | - 0.9 | - 1 |

2.4 | - 0.4 | 0.9 | - 0.9 | - 1 |

3.1 | - 1.1 | 0.7 | - 0.7 | - 1 |

3.6 | - 1.6 | 0.5 | - 0.5 | - 1 |

Step: 3

The rate of change = - 1

Step: 4

The linear equation that represents the data is y = 2 + (- 1) x .

Step: 5

Step: 6

When x = 2.38, y = - 0.38.

Correct Answer is : - 0.38

Step: 1

The rate of increase is 250 per year.

Step: 2

Let t = 0 represent the year 1983.

Step: 3

The year 1995 is represented by t = 12.

Step: 4

This situation is represented by the linear equation y = 250t + 2000.

Step: 5

At t = 12, y = 250(12) + 2000 = 3000 + 2000 = 5000.

Step: 6

So, the number of students in the year 1995 is 5000.

Correct Answer is : 5000

Hours | 1 | 2 | 3 | 4 | 5 |

Earnings | 35 | 42 | 49 | 56 | 63 |

Step: 1

Rate of change = 4 2 - 3 5 2 - 1 = 7.

Step: 2

This situation can be modeled by the linear equation y = 7 t + 28.

Step: 3

119 = 7 t + 28 gives t = 13.

Step: 4

Eddy needs to work for 13 hours.

Correct Answer is : 12

Temperature(°C) | 10.5 | 8 | 5 | 0 |

Altitude(in m) | 800 | 1300 | 1900 | 2900 |

Step: 1

Rate of change of temperature = C h a n g e i n t e m p e r a t u r e C h a n g e i n a l t i t u d e = 8 - 1 0 . 5 1 3 0 0 - 8 0 0

Step: 2

= - 2 . 5 5 0 0

Step: 3

= - 1 2 0 0

Step: 4

= - 0.005

Step: 5

So, the rate of change of temperature is - 0.005.

Correct Answer is : - 0.005

Profit(in million $) | 59 | 71 | 83 | 95 |

Years since 2000 | 1 | 2 | 3 | 4 |

Step: 1

Rate of change of profit = C h a n g e i n p r o f i t C h a n g e i n y e a r = 7 1 - 5 9 2 - 1

Step: 2

= 1 2 1

Step: 3

= 12

Step: 4

So, the rate of change of profit is 12.

Correct Answer is : 12

Salary(in $) | 1500 | 2100 | 2700 | 3300 |

Years since 1997 | 1 | 2 | 3 | 4 |

Step: 1

Rate of change of salary = C h a n g e i n s a l a r y C h a n g e i n y e a r = 2 1 0 0 - 1 5 0 0 2 - 1

Step: 2

= 6 0 0 1

Step: 3

= 600

Step: 4

So, the rate of change of salary is 600.

Correct Answer is : $600

Step: 1

The rate that describes how one quantity changes in relation to another is called rate of change.

Step: 2

Rate of change = c h a n g e i n p a r t i c i p a n t s c h a n g e i n y e a r = 1 0 8 8 9 - 9 1 4 8 2 0 0 5 - 2 0 0 2

Step: 3

= 1 7 4 1 3

Step: 4

= 580.3

Correct Answer is : 580.3

Step: 1

The rate that describes how one quantity changes in relation to another is called rate of change.

Step: 2

Rate of change = c h a n g e i n n u m b e r o f s t u d e n t s c h a n g e i n a g e = 2 0 - 1 6 1 5 - 1 3

Step: 3

= 4 2

Step: 4

= 2

Correct Answer is : 2

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