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Ethan consumes an energy drink that contains 220 mg of caffeine. The amount of caffeine in his body decreases by 12.6% per hour. (Assume

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Ethan consumes an energy drink that contains 220 mg of caffeine. The amount of caffeine in his body decreases by 12.6% per hour. (Assume Ethan has no caffeine in his body prior to consuming the drink.) a. Write a function of that determines the number of mg of caffeine in Ethan's body in terms of the number of hours t since Ethan consumed the energy drink. f(t)= 220/(100/12.6)^t * Preview b. How many mg of caffeine remains in Ethan's body 7 hours after he consumed the energy drink? mg Preview c. If Ethan has 60 mg of caffeine in his body, how many hours have elapsed since he consumed the energy drink? (Hint: You will need to use a graphing calculator.) hours Preview

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