52. Results of studying. Celia's score on a test, s(t), after t hours of studying, is given by s(t) = t2, 0s s 10, Dan's score on the same test is given by S(t) = 10t, 0 s ts 10, where S(t) is his score after t hours of studying. a) For 0
52. Results of studying. Celia's score on a test, s(t), after t hours of studying, is given by s(t) = t2, 0s s 10, Dan's score on the same test is given by S(t) = 10t, 0 s ts 10, where S(t) is his score after t hours of studying. a) For 0
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Chapter1: Functions And Models
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![52. Results of studying. Celia's score on a test, s(t), after
t hours of studying, is given by
s(t) = t2, 0s s 10,
Dan's score on the same test is given by
S(t) = 10t, 0 s ts 10,
where S(t) is his score after t hours of studying.
a) For 0 <t< 10, who will have the higher test
score?
b) Find the average value of s(t) over [7, 10], and
explain what it represents.
c) Find the average value of S(t) over [6, 10], and
explain what it represents.
d) Assuming that both students have the same study
habits and are equally likely to study for any number
of hours, t, in [o, 10], on average, how far apart will
their test scores be?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F530875eb-61e2-42af-8570-2b8e203662f8%2F384ba710-f343-4cd7-b08c-bbe4ef8f8aff%2Fexqpxz4_processed.png&w=3840&q=75)
Transcribed Image Text:52. Results of studying. Celia's score on a test, s(t), after
t hours of studying, is given by
s(t) = t2, 0s s 10,
Dan's score on the same test is given by
S(t) = 10t, 0 s ts 10,
where S(t) is his score after t hours of studying.
a) For 0 <t< 10, who will have the higher test
score?
b) Find the average value of s(t) over [7, 10], and
explain what it represents.
c) Find the average value of S(t) over [6, 10], and
explain what it represents.
d) Assuming that both students have the same study
habits and are equally likely to study for any number
of hours, t, in [o, 10], on average, how far apart will
their test scores be?
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