Find the total income for a continuous stream Question An individual has a side line business as an economics tutor. They model their cash inflows using the continuous stream f(t) = 100 – 10t for t > 0. Why is this potentially NOT a good model for a continuous income stream for all t > 0? Select the correct answer below: O The function f(t) is negative for t > 10. Revenue is generally a positive quantity. O An indefinite integral of f(t) does not exist. O The function gets smaller as t increases, and so is not a realistic model. O None of the above

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Find the total income for a continuous stream
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An individual has a side line business as an economics tutor. They model their cash inflows using the continuous stream
f(t) = 100 – 10t for t > 0.
Why is this potentially NOT a good model for a continuous income stream for all t > 0?
Select the correct answer below:
O The function f(t) is negative for t > 10. Revenue is generally a positive quantity.
O An indefinite integral of f(t) does not exist.
O The function gets smaller as t increases, and so is not a realistic model.
O None of the above
Transcribed Image Text:Find the total income for a continuous stream Question An individual has a side line business as an economics tutor. They model their cash inflows using the continuous stream f(t) = 100 – 10t for t > 0. Why is this potentially NOT a good model for a continuous income stream for all t > 0? Select the correct answer below: O The function f(t) is negative for t > 10. Revenue is generally a positive quantity. O An indefinite integral of f(t) does not exist. O The function gets smaller as t increases, and so is not a realistic model. O None of the above
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