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A swimming pool is initially shocked with chlorine to bring the chlorine concentration to 6 ppm (parts per million). Chlorine dissipates in reaction to bacteria and sun at a rate of about 15% per day. Above a chlorine concentration of 2 ppm, swimmers experience burning eyes, and below a concentration of 1 ppm, bacteria and algea start to proliferate in the pool environment.

AConstruct an exponential decay function that describes the chlorine concentration (in parts per million) over time.

Verified Answer :

toporc

Let C be the chlorine concentration in parts per million, and let Co be the initial Chlorine concentration in parts per million. We can write:
\(C=C _{0}(0.85)^{t}\)
where t is the time in days after the pool treatment.
Plugging in the initial value of Cl concentration gives:
\(C=6(0.85)^{t}\)

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