Water will be both added to and drained from a bathtub at the same time for 7 minutes. The total amount of water added to the bathtub in litres will be modelled by the function f(t) = 15t, where t is the time elapsed in minutes. The total amount of water drained from the bathtub in litres will be modelled by the function g(f) = 2f², where t is the time elapsed in minutes. How many litres of water will be in the bathtub after 4 minutes?

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
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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5. Water will be both added to and drained from a bathtub at the same time for 7 minutes. The total amount of water
added to the bathtub in litres will be modelled by the function f(t) = 15t, where t is the time elapsed in minutes. The
total amount of water drained from the bathtub in litres will be modelled by the function g(t) = 2f, where t is the
time elapsed in minutes. How many litres of water will be in the bathtub after 4 minutes?
Transcribed Image Text:5. Water will be both added to and drained from a bathtub at the same time for 7 minutes. The total amount of water added to the bathtub in litres will be modelled by the function f(t) = 15t, where t is the time elapsed in minutes. The total amount of water drained from the bathtub in litres will be modelled by the function g(t) = 2f, where t is the time elapsed in minutes. How many litres of water will be in the bathtub after 4 minutes?
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