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A Pond Initially Contains 120,000 Gallons of Water and an Unknown

Question 11

Multiple Choice

A pond initially contains 120,000 gallons of water and an unknown amount of pesticide. Water containing 0.08 grams of pesticide per gallon flows into the pond at a rate of 260 gallons per hour. The mixture flows out of the pond at the same rate, so the amount of water in the pond remains constant. Assume the pesticide is uniformly mixed throughout the pond.Which of these equations would you need to solve to find the time T (in hours) after which P(t) is within 2% of its limiting behavior?


A) A pond initially contains 120,000 gallons of water and an unknown amount of pesticide. Water containing 0.08 grams of pesticide per gallon flows into the pond at a rate of 260 gallons per hour. The mixture flows out of the pond at the same rate, so the amount of water in the pond remains constant. Assume the pesticide is uniformly mixed throughout the pond.Which of these equations would you need to solve to find the time T (in hours)  after which P(t)  is within 2% of its limiting behavior? A)   B)   C)   D)
B) A pond initially contains 120,000 gallons of water and an unknown amount of pesticide. Water containing 0.08 grams of pesticide per gallon flows into the pond at a rate of 260 gallons per hour. The mixture flows out of the pond at the same rate, so the amount of water in the pond remains constant. Assume the pesticide is uniformly mixed throughout the pond.Which of these equations would you need to solve to find the time T (in hours)  after which P(t)  is within 2% of its limiting behavior? A)   B)   C)   D)
C) A pond initially contains 120,000 gallons of water and an unknown amount of pesticide. Water containing 0.08 grams of pesticide per gallon flows into the pond at a rate of 260 gallons per hour. The mixture flows out of the pond at the same rate, so the amount of water in the pond remains constant. Assume the pesticide is uniformly mixed throughout the pond.Which of these equations would you need to solve to find the time T (in hours)  after which P(t)  is within 2% of its limiting behavior? A)   B)   C)   D)
D) A pond initially contains 120,000 gallons of water and an unknown amount of pesticide. Water containing 0.08 grams of pesticide per gallon flows into the pond at a rate of 260 gallons per hour. The mixture flows out of the pond at the same rate, so the amount of water in the pond remains constant. Assume the pesticide is uniformly mixed throughout the pond.Which of these equations would you need to solve to find the time T (in hours)  after which P(t)  is within 2% of its limiting behavior? A)   B)   C)   D)

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