Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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