A 504 gallon pool stores water for irrigation. The water is contaminated by a toxic substance at a concentration of 300 ppm (parts per million). A filter is installed that can remove 60% of the toxin.
(a) Write a differential equation modeling the concentration x of heavy metals in the pool. Use x and t if necessary.
dxdt =
(b) How long will it take for the concentration to be reduced below 1 ppm? (Do not round your answer.)
The concentration will fall below 1 ppm after __________________ minutes.