Problem

Read and $aaaly2e$ each situation carefully and apply $y$ your learnings on $xepxe8eaimg$
$\pi ea1-H\pi e$ situations involving functions including piecewise.
$1.$ Contaminated water is subjected to a cleaning process. The concentration of the
pollutants is initially $5$ mg $2$ per liter of water. If the cleaning $B$ process $C$ can reduce the
pollutant by $10%$ each hour, $leGme$ $9$ function that $Q$ can represent the concentration
of pollutants in the water in terms of the number of hours that the cleaning $Pxoo6ss$
has taken place.

10th-13th grade

Geometry

Search count: 106

Solution

Qanda teacher - Ashritha

Initial concentration of untreated or polluted water water = 5 mg per litre
Pollutants reduce by 10% every hour
Pollutants remaining after an hour would be = (100-10)/100 x 5
Pollutants remaining after an hour would be = (0.9) x 5 = 4.5
Pollutants remaining after two hours would be = 0.9 x (0.9) x 5
Pollutants remaining after nth hour of treatment would be = 0.9^n x 5

Student

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