A tank contains 100 gal of fresh water. A solution containing 3 Ib/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 4 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. min (Type an integer or decimal rounded to the nearest tenth as needed.) The maximum amount of fertilizer in the tank is y = Ib. (Type an integer or decimal rounded to the nearest tenth as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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A tank contains 100gal of fresh water. A solution containing 3 ​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 4 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.
 
The maximum amount of fertilizer in the tank is y = [  ] lb.
A tank contains 100 gal of fresh water. A solution containing 3 Ib/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 4 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.)
The maximum amount of fertilizer in the tank is y =
Ib.
(Type an integer or decimal rounded to the nearest tenth as needed.)
Transcribed Image Text:A tank contains 100 gal of fresh water. A solution containing 3 Ib/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 4 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.) The maximum amount of fertilizer in the tank is y = Ib. (Type an integer or decimal rounded to the nearest tenth as needed.)
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