Under certain water conditions, the free chlorine (hypochlorous acid, HOCl) in a swimming pool decomposes according to the law of uninhibited decay. After shocking his pool, Ben tested the water and found the amount of free chlorine to be 2.5 parts per million (ppm). Twenty-four hours later, Ben tested the water again and found the amount of free chlorine to be 2.2 ppm. What will be the reading after 3 days (that is, 72 hours)? When the chlorine level reaches $1.0 \mathrm{ppm}, \mathrm{Ben}$ must shock the pool again. How long can Ben go before he must shock the pool again?
Exponential and Logarithmic Functions
Exponential Growth and Decay Models;…