Tombstone, Arizona was the most famous “boomtown” during the gold rush in the American west. It was established in December, 1879, after the discovery of a large silver deposit nearby. The original town had 40 dwellings and a population of 100. Over the next two to three years, the population grew at an average rate of 19% per month.

1. What was the population one year later, in December, 1880?
2. Write a formula for $P(t)\text{,}$ the population of Tombstone $t$ months after its founding.
   $P(t)=$
3. Complete the table and sketch a graph of $P(t)\text{.}$ A suggest grid is above.

   $t$	$0$	$5$	$10$	$15$	$20$	$25$
   $P(t)$

4. Tombstone’s peak population was about 10,000 people. Use your graph to estimate the time it took to reach that figure.
   About months