Quinn starts treating her pool for the season with a shock treatment of 4 gal of chlorine. Every 24 h, 15% of the chlorine evaporates. The next morning, she adds 1 qt (1/4 gal) of chlorine to the pool, and she continues to do so each morning.
a. How much chlorine is there in the pool after one day (after she adds the first daily quart of chlorine)? After two days? Write a recursive formula for this pattern.
b. Use the formula from 10a to make a table of values and sketch a graph of 20 terms. Find an explicit model that fits the data?