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r and 10.2 gallons of chemica 5 over time.

r and 10.2 gallons of chemica 5 over time.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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A mixing vat initially contains 253 gallons of chemical A and 200 gallons of chemical B, mixed together. Inlet pumps are turned on at 7:00 a.m. (time t = 0) that pump in 3.7 gallons of chemical A each hour and 10.2 gallons of chemical B each hour, creating a constantly changing mix of the two chemicals over time. a. Write a function A(t) that gives the ratio of chemical A to chemical B after t hours of pumping. A(t) b. How many hours will it take for the ratio of chemical A to chemical B in the vat to reach 0.558? hours Round to three decimal places. c. Over a "long time," what value will the ratio of the amount of chemical A to the amount of chemical B get closer and closer to, if this mixing process is allowed to continue indefinitely? Round to three decimal places.
Transcribed Image Text:A mixing vat initially contains 253 gallons of chemical A and 200 gallons of chemical B, mixed together. Inlet pumps are turned on at 7:00 a.m. (time t = 0) that pump in 3.7 gallons of chemical A each hour and 10.2 gallons of chemical B each hour, creating a constantly changing mix of the two chemicals over time. a. Write a function A(t) that gives the ratio of chemical A to chemical B after t hours of pumping. A(t) b. How many hours will it take for the ratio of chemical A to chemical B in the vat to reach 0.558? hours Round to three decimal places. c. Over a "long time," what value will the ratio of the amount of chemical A to the amount of chemical B get closer and closer to, if this mixing process is allowed to continue indefinitely? Round to three decimal places.
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