2) A pond holding 1,230,000 gallons has been contaminated with150,000 pounds of salt. Pure water is pumped into the pond at arate of 120 thousand gallons per hour and contaminated water ispumped from the pond at the same rate. The differential equationthat models this situation is ?? / ?? = − 120? / 1230 where ?(0) =150 where S is thousands of pounds of salt and t is hours.
a) Solve the differential equation.
b) Fresh water fish can be introduced to the pond when the amountof salt in the pond is less than 500 pounds. Will you be able tointroduce the fish after 5 hours? (Explain)
c) After how many hours will you be able to introduce fish to thepond?
