### Home > CCA > Chapter 11 > Lesson 11.3.3 > Problem 11-102

Jeremiah inherited his grandmother’s very large coin collection at the end of the year 2005. Since then, he has been giving away or selling the coins from the collection. The table below shows the decreasing number of coins in his collection for the past six years. *11-102 HW eTool* (Desmos).

Year | # of Coins |

2005 | 1617 |

2006 | 1527 |

2007 | 1498 |

2008 | 1498 |

2009 | 1344 |

2010 | 1295 |

Jeremiah had not been very consistent with the number of coins he gives away or sells. In 2011 he made a plan to give away a consistent number each year. Use a line of best fit to find the average rate he had been given coins away through 2010.

Assuming that Jeremiah stuck to his plan of giving away that consistent number of coins since 2010, when should he expect to be out of coins?

Use the line of best fit from part (a) to determine when the number of coins will equal 0.

Use the eTool below to solve the problem.

Click the link at the right to view the full version eTool:*CCA 11-102 HW eTool*