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Checking Integral-Application Answers
Grade Level
Calculus I
CAL1.140 Checking Integral-Application Answers
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A bank account’s balance changes at rate B'(t) between -40 and +10 dollars per day for 30 days.
A student reports net change in balance as integral of B'(t) over 30 days equals -600 dollars. Which conclusion is best?
A
Not reasonable: -600 is too small because the minimum is -40×30 = -1,200.
B
Units are wrong: the answer should be dollars per day.
C
Not reasonable: net change cannot be negative.
D
Reasonable: net change must be between -40×30 = -1,200 and 10×30 = 300 dollars, and -600 lies between.
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