A tank contains 200 gal of fresh water. A solution containing 4 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 5 gal/min. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum. Find the time required to reach the maximum amount of fertilizer in the tank. t= min (Type an integer or decimal rounded to the nearest tenth as needed.)

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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A tank contains 200 gal of fresh water. A solution containing 4 lb/gal of soluble
lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is
pumped out of the tank at the rate of 5 gal/min. Find the maximum amount of
fertilizer in the tank and the time required to reach the maximum.
Find the time required to reach the maximum amount of fertilizer in the tank.
t=
min
(Type an integer or decimal rounded to the nearest tenth as needed.)
Transcribed Image Text:A tank contains 200 gal of fresh water. A solution containing 4 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 5 gal/min. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum. Find the time required to reach the maximum amount of fertilizer in the tank. t= min (Type an integer or decimal rounded to the nearest tenth as needed.)
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