The quantity of caffeine in the body after drinking a cup of coffee is shown in the figure to the right. The half-life is (a) Estimate the half-life of caffeine. NOTE: Round your answer to one decimal place. 150 hours. The continuous decay rate is 100 50 0 Q (mg) 4 8 (b) Use the half-life to find the continuous percent decay rate. NOTE: Round your answer to one decimal place. Remember to express your answer as a decay rate, not a growth rate. % per 12 t (hours) hour. (c) Give a formula for Q as a function of t. Assume a continuous decay rate. NOTE: Round the parameters in your answer to three decimal places. Q(t)

The quantity of caffeine in the body after drinking a cup of coffee is shown in the figure to the right. The half-life is (a) Estimate the half-life of caffeine. NOTE: Round your answer to one decimal place. 150 hours. The continuous decay rate is 100 50 0 Q (mg) 4 8 (b) Use the half-life to find the continuous percent decay rate. NOTE: Round your answer to one decimal place. Remember to express your answer as a decay rate, not a growth rate. % per 12 t (hours) hour. (c) Give a formula for Q as a function of t. Assume a continuous decay rate. NOTE: Round the parameters in your answer to three decimal places. Q(t)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.3: Applications: Growth And Decay

Problem 15E

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