Bob's grade in his science class is related to the number of hours he studies. The rate of change his grade G(t) is proportional to (100 - G) where t is measured in hours and G(t) is his grade after t hours of study. The highest grade is a 100. G(0) = 40, meaning he could get a 40 without any studying. After 20 hours Bob's grade would be a 70. How many hours would Bob need to study to get an A, 90 or better? Round your answer to the nearest hour. O 20 O 43 O 52 O 75

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Chapter1: Functions And Models
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Bob's grade in his science class is related to the number of hours he studies. The rate of change of his grade G(t) is proportional to
(100 - G) where t is measured in hours and G(t) is his grade after t hours of study. The highest grade is a 100. G(0) = 40, meaning he
could get a 40 without any studying. After 20 hours Bob's grade would be a 70.
How many hours would Bob need to study to get an A, 90 or better?
Round your answer to the nearest hour.
O
O
20
43
52
75
Transcribed Image Text:Bob's grade in his science class is related to the number of hours he studies. The rate of change of his grade G(t) is proportional to (100 - G) where t is measured in hours and G(t) is his grade after t hours of study. The highest grade is a 100. G(0) = 40, meaning he could get a 40 without any studying. After 20 hours Bob's grade would be a 70. How many hours would Bob need to study to get an A, 90 or better? Round your answer to the nearest hour. O O 20 43 52 75
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