Under certain water conditions, the free chlorine (hypochlorous acid, HOCI) in a swimming pool decomposes according to the law of uninhibited decay. After shocking a pool, the pool boy, Geoff, tested the water and found the amount of free chlorine to be 2.2 parts per million (ppm). Twenty-four hours later, Geoff tested the water again and found the amount of free chlorine to be 1.9 ppm. What will be the reading after 2 days (that is, 48 hours)? When the chlorine level reaches 1.0 ppm, Geoff must shock the pool again. How long can Geoff go before he must shock the pool again? After 2 days, or 48 hours, the amount of free chlorine in the pool will be (Do not round until the final answer. Then round to the nearest hundredth as needed.) ppm.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Under certain water conditions, the free chlorine (hypochlorous acid, HOCI) in a swimming pool decomposes according to the law of uninhibited decay. After shocking a pool, the pool boy, Geoff, tested the water and found the amount of
free chlorine to be 2.2 parts per million (ppm). Twenty-four hours later, Geoff tested the water again and found the amount of free chlorine to be 1.9 ppm. What will be the reading after 2 days (that is, 48 hours)? When the chlorine level
reaches 1.0 ppm, Geoff must shock the pool again. How long can Geoff go before he must shock the pool again?
After 2 days, or 48 hours, the amount of free chlorine in the pool will be
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
ppm.
Transcribed Image Text:Under certain water conditions, the free chlorine (hypochlorous acid, HOCI) in a swimming pool decomposes according to the law of uninhibited decay. After shocking a pool, the pool boy, Geoff, tested the water and found the amount of free chlorine to be 2.2 parts per million (ppm). Twenty-four hours later, Geoff tested the water again and found the amount of free chlorine to be 1.9 ppm. What will be the reading after 2 days (that is, 48 hours)? When the chlorine level reaches 1.0 ppm, Geoff must shock the pool again. How long can Geoff go before he must shock the pool again? After 2 days, or 48 hours, the amount of free chlorine in the pool will be (Do not round until the final answer. Then round to the nearest hundredth as needed.) ppm.
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