Alarge mixing tank currently contains 350 gallons of water, into which 10 pounds of sugar have been mixed. a tap will open, pouring 20 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. find the concentraion (pounds per gallon) of sugar in the tank after 15 minutes. is that a greater concentration than at the beginning?

Answer

Let t be number of minutes since tap is opened

water is increased by 20 gallons of water per minute.

sugar increase rate of 3 pounds per minute

water :- W(t) = 350 + 10 t

sugar :- S(t) = 10 + 3 t

concentration

C(t) =

at t = 15 minutes

C(15) =

C(15) =

C(15) = 0.11

at beginning t = 0 minutes

C(0) =

C(0) =

C(0) = 0.0286

C(15) > C(0)

hence, concentration is increasing as time is passing.

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step-by-step explanation: