The metabolic rate of a person who has just eaten a meal tends to go up and then, after some time has passed, returns to a resting metabolic rate. This phenomenon is known as the thermic effect of food. Suppose that for one particular person, the thermic effect of food is given by the following equation, where F ( t ) is the thermic effect of food ( in kJ / hr ) and t is the number of hours that have elapsed since eating a meal. F ( t ) = - 10.35 + 175.8t e - t / 1.3 , for t > 0 a. Find F ' ( t ) . b. determine where the function F ( t ) is increasing and where it is decreasing. Interpret the answer. Upon eating a meal, does this person's metabolic rate begin to increase, or does it begin to decrease? After how many hours?
The metabolic rate of a person who has just eaten a meal tends to go up and then, after some time has passed, returns to a resting metabolic rate. This phenomenon is known as the thermic effect of food. Suppose that for one particular person, the thermic effect of food is given by the following equation, where F ( t ) is the thermic effect of food ( in kJ / hr ) and t is the number of hours that have elapsed since eating a meal.
F ( t ) = - 10.35 + 175.8t e - t / 1.3 , for t > 0
a. Find F ' ( t ) .
b. determine where the function F ( t ) is increasing and where it is decreasing. Interpret the answer.
Upon eating a meal, does this person's metabolic rate begin to increase, or does it begin to decrease? After how many hours?
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