### Home > AC > Chapter 12 > Lesson 12.4.3 > Problem12-93

12-93.

Jeremiah inherited his grandmother’s very large coin collection at the end of the year $2000$. Since then, he has been giving away or selling the coins from the collection. The table at right shows the decreasing number of coins in his collection for the past six years. 12-93 HW eTool (Desmos).

1. Find the equation of a line that best fits Jeremiah’s data.

2. At this rate, when should Jeremiah expect to be out of coins?

 Year # of Coins $2000$ $1617$ $2001$ $1552$ $2002$ $1498$ $2003$ $1453$ $2004$ $1401$ $2005$ $1344$

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

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