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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.4, Problem 28E

To determine

**To fill:** The number of book purchased in the year given in table.

Expert Solution

The table shows the number of books purchased by the collector in that particular year.

Year | Number of books | Year | Number of books | |

1980 | 420 | 1995 | 1020 | |

1981 | 460 | 1997 | 1100 | |

1982 | 500 | 1998 | 1140 | |

1985 | 620 | 1999 | 1180 | |

1990 | 820 | 2000 | 1220 | |

1992 | 900 |

The given table is,

Year | Number of books | Year | Number of books | |

1980 | 420 | 1995 | __ | |

1981 | 460 | 1997 | __ | |

1982 | __ | 1998 | __ | |

1985 | __ | 1999 | __ | |

1990 | __ | 2000 | 1220 | |

1992 | __ |

A rare book collector purchased 40 books per year between the year 1980 to 2000.

As from the given table up to year 1980 he purchased 420 books and after that he started adding 40 more books each year in his collection of rare books.

So, the formula to calculate the total number of books purchased by the rare book collector in any year is,

Substitute 1982 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1982.

Substitute 1985 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1985.

Substitute 1990 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1990.

Substitute 1992 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1992.

Substitute 1995 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1995.

Substitute 1997 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1997.

Substitute 1998 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1998.

Substitute 1999 for *x* in equation (1) 420 for number of books purchased in year 1980 to calculate the number of books purchased in year 1999.

Fill all the solutions in the given table.

Year | Number of books | Year | Number of books | |

1980 | 420 | 1995 | 1020 | |

1981 | 460 | 1997 | 1100 | |

1982 | 500 | 1998 | 1140 | |

1985 | 620 | 1999 | 1180 | |

1990 | 820 | 2000 | 1220 | |

1992 | 900 |

The table shows the number of books purchased by the collector in that particular year.