anonymous
  • anonymous
I have been trying to work this problem, it doesnt seem to have enough information. Chlorine is frequently used to disinfect swimming pools. The chlorine concentration should remain between 1.5 and 2.5 parts per million (ppm) for safe swimming. After a warm, sunny day only 80% of the chlorine may remain in the water, with the other 20% dissipating into the air or combining with chemicals in the water. Let model the concentration of chlorine in parts per million after t days. What is the initial concentration of chlorine in the pool?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
your equation got lost in translation...
anonymous
  • anonymous
I m just tryin to figure out how much initial concentration of chlorine in the pool
amistre64
  • amistre64
"Let (......) model the concentration of chlorine in parts" the equation is missing. When you copy and pasted your question it ate the equation because it didnt recognize it

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amistre64
  • amistre64
if it aint an equation; then it ate whatever was witting there to begin with
anonymous
  • anonymous
f(t)=3(0.8)^t
amistre64
  • amistre64
well, it looks like we revert this to a table of times and try to make a recursion equation out of it
amistre64
  • amistre64
A{n+1} = A{n} (.8) +C
amistre64
  • amistre64
t=1; A = 2.4 t=2; A = 1.92 t=3; A = 1.536 1.92 = 2.4(.8) + C perhaps?
amistre64
  • amistre64
C = 1.92 - (2.4*.8) C = 1.92 - 1.92 C = 0 maybe that works out lol
amistre64
  • amistre64
C = 1.536 - (.8*1.92) C = 1.536 - 1.536 ... seems to be good
amistre64
  • amistre64
2.4 = A{0}*.8 2.4\.8 = A{0} A{0} = 3 the inital amount was at 3 parts per mill if i read it right
anonymous
  • anonymous
Ok so I have another quetions mathematically could the concentration ever be zero
amistre64
  • amistre64
no; since the inital equation you gave can never have a zero component; the answer can never be 0; 3(0) = 0 but; .8^t never equals 0 0(.8^t) = 0 but; 3 never equals 0 so conclusion is: it can never reach zero

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