Flowers tend to open in the daylight and close in the dark. The percent P of flowers open during a 24-hour period can be modeled by P(x) = a sin (bx) + d, where (a) Suppose that for P the maximum is 70%, the minimum is 20%, and the period is 24 hours. Determine P(x). (b) When are the most flowers open? (c) When are the fewest flowers open? (a) Determine P(x). P(x) = (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) (b) When are the most flowers open? (Type a whole number.) (c) When are the fewest flowers open? (Type a whole number.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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Flowers tend to open in the daylight and close in the dark. The percent P of flowers open during a 24-hour period can be modeled by P(x) = a sin (bx) + d, where x is hours past 5 A.M.
(a) Suppose that for P the maximum is 70%, the minimum is 20%, and the period is 24 hours. Determine P(x).
(b) When are the most flowers open?
(c) When are the fewest flowers open?
(a) Determine P(x).
P(x) =
(Simplify your answer. Type an exact answer, using z as needed. Use integers or fractions for any numbers in the expression.)
(b) When are the most flowers open?
(Type a whole number.)
(c) When are the fewest flowers open?
(Type a whole number.)
Transcribed Image Text:Flowers tend to open in the daylight and close in the dark. The percent P of flowers open during a 24-hour period can be modeled by P(x) = a sin (bx) + d, where x is hours past 5 A.M. (a) Suppose that for P the maximum is 70%, the minimum is 20%, and the period is 24 hours. Determine P(x). (b) When are the most flowers open? (c) When are the fewest flowers open? (a) Determine P(x). P(x) = (Simplify your answer. Type an exact answer, using z as needed. Use integers or fractions for any numbers in the expression.) (b) When are the most flowers open? (Type a whole number.) (c) When are the fewest flowers open? (Type a whole number.)
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