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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.4, Problem 27E

a

To determine

**To find **the average rate of change of sales between 1993 and 2003.

Expert Solution

The average rate of change between 1993 and 2003 is

**Given information**:

Year | Cd player sold |

1993 | 512 |

1994 | 520 |

1995 | 413 |

1996 | 410 |

1997 | 468 |

1998 | 510 |

1999 | 590 |

2000 | 607 |

2001 | 732 |

2002 | 612 |

2003 | 584 |

**Formula used:**

The average rate of change of the function

**Calculation:**

Therefore the average rate of change between 1993 and 2003 is

Hence, the average rate of change between 1993 and 2003 is

b

To determine

**To find **the average rate of change of sales between 1993 and 1994.

Expert Solution

Theaverage rate of change between 1993 and 1994 is

**Given information**:

Year | Cd player sold |

1993 | 512 |

1994 | 520 |

1995 | 413 |

1996 | 410 |

1997 | 468 |

1998 | 510 |

1999 | 590 |

2000 | 607 |

2001 | 732 |

2002 | 612 |

2003 | 584 |

**Formula used:**

The average rate of change of the function

**Calculation:**

Therefore the average rate of change between 1993 and 1994 is

Hence, the average rate of change between 1993 and 1994 is

c

To determine

**To find **the average rate of change of sales between 1994 and 1996.

Expert Solution

The average rate of change between 1994 and 1996 is

**Given information**:

Year | Cd player sold |

1993 | 512 |

1994 | 520 |

1995 | 413 |

1996 | 410 |

1997 | 468 |

1998 | 510 |

1999 | 590 |

2000 | 607 |

2001 | 732 |

2002 | 612 |

2003 | 584 |

**Formula used:**

The average rate of change of the function

**Calculation:**

Therefore the average rate of change between 1994 and 1996 is

Hence, the average rate of change between 1994 and 1996 is

d

To determine

**To find **the two successive year in which CD player sales increase and decrease most quickly

Expert Solution

The most increase between two successive years is between 2000-2001.

The most decease between two successive years is between 2001-2002

**Given information**:

Year | Cd player sold |

1993 | 512 |

1994 | 520 |

1995 | 413 |

1996 | 410 |

1997 | 468 |

1998 | 510 |

1999 | 590 |

2000 | 607 |

2001 | 732 |

2002 | 612 |

2003 | 584 |

**Formula used:**

The average rate of change of the function

**Calculation:**

Therefore the average rate of change between 1994 and 1995 is

The average rate of change between 1995 and 1996 is

The average rate of change between 1996 and 1997 is

The average rate of change between 1997 and 1998 is

The average rate of change between 1998 and 1999 is

The average rate of change between 1999 and 2000 is

The average rate of change between 2000 and 2001 is

The average rate of change between 2001 and 2002 is

Therefore the average rate of change between 2002 and 2003 is

Hence,the most increase between two successive years is between 2000-2001 and

the most decease between two successive years is between 2001-2002