A large mixing tank currently contains 55 gallons of liquid oxygen, into which 0.75 gallons of a bonding compound have been mixed. A tap will open, pouring 4 gallons of liquid oxygen per minute into the tank at the same time the bonding compound is poured into the tank at a rate of 0.15 gallons per hour. The concentration (ounces per gallon) of the bonding compound in the tank after t minutes is given by 0.75 +0.15t C = 55 + 4t Express t as a function of C. Determine the time it takes to have a concentrate of 127.5 gallons of bonding agent to 885 gallons. 55C– 0.75 t = 0.15 – 4C 55C+0.75 t= 0.15 – 4C 0.75 – 55C 4C– 0.15 0.15 – 4C | t = 55C– 0.75

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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A large mixing tank currently contains 55 gallons of liquid oxygen, into which 0.75 gallons of a bonding compound have been mixed. A tap will open, pouring 4 gallons of liquid
oxygen per minute into the tank at the same time the bonding compound is poured into the tank at a rate of 0.15 gallons per hour. The concentration (ounces per gallon) of the
bonding compound in the tank after t minutes is given by
0.75 +0.15t
C =
55 + 4t
Express t as a function of C. Determine the time it takes to have a concentrate of 127.5 gallons of bonding agent to 885 gallons.
55C– 0.75
t =
0.15 – 4C
55C+0.75
t=
0.15 – 4C
0.75 – 55C
4C– 0.15
0.15 – 4C
t =
55C – 0.75
Transcribed Image Text:A large mixing tank currently contains 55 gallons of liquid oxygen, into which 0.75 gallons of a bonding compound have been mixed. A tap will open, pouring 4 gallons of liquid oxygen per minute into the tank at the same time the bonding compound is poured into the tank at a rate of 0.15 gallons per hour. The concentration (ounces per gallon) of the bonding compound in the tank after t minutes is given by 0.75 +0.15t C = 55 + 4t Express t as a function of C. Determine the time it takes to have a concentrate of 127.5 gallons of bonding agent to 885 gallons. 55C– 0.75 t = 0.15 – 4C 55C+0.75 t= 0.15 – 4C 0.75 – 55C 4C– 0.15 0.15 – 4C t = 55C – 0.75
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