A tank contains 150 gal of fresh water. A solution containing 5 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 3 gal/min. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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A tank contains 150 gal of fresh water. A solution containing 5 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 3 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 lb.
(Type an integer or decimal rounded to the nearest tenth as needed.)
f1
7
?
"
f2
2
f3
#
*
3
f4
LA
101
4
f5
%
5
f6
6
KO
17
Next
&
Next
7
18
hp
●
W
*
Transcribed Image Text:A tank contains 150 gal of fresh water. A solution containing 5 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 3 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 lb. (Type an integer or decimal rounded to the nearest tenth as needed.) f1 7 ? " f2 2 f3 # * 3 f4 LA 101 4 f5 % 5 f6 6 KO 17 Next & Next 7 18 hp ● W *
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