Sasha drinks an energy beverage with caffeine. After ingesting the energizing beverage, Sashas's caffeine___?

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Sasha drinks an energy beverage with caffeine. After ingesting the energizing beverage, Sashas&#039;s caffeine___?

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N(t)=N0e−ktwhereN0=&amp;nbsp;initial value of quantity NN(t) = quantity N at time tk = decay constant associated to physical properties of Ne−kt=&amp;nbsp;decay factorSubstituting the values from the problem:t = 10 hourse−kt=0.2601Then, solving for k:ln⁡(e−kx10)=ln⁡(0.2601)−10k=ln⁡(0.2601)k=−ln⁡(0.2601)10k =0.13467For 10-hours decay factor = 0.13467For t = 5 hours:e−kt=e−0.13467×5=e−0.67335= 0.5099For 5-hours decay factor =0.50999For t = 1 hours:e−kt=e−0.13467×1=e−0.13467=0.87400For 1-hour decay factor =0.87400The quantity of caffeine in Sasha&#039;s body 2.38 hours after drinking the energy drink is only the quantity N(t) one hour after the first value (166 mg), therefore if you use this value as the beginning value of quantity no and there are 166 mg in Sasha&#039;s body 1.38 hours after drinking the energy drink, then:N(t)=N0e−ktN(1)&amp;nbsp;=166×0.87400&amp;nbsp;(since for 1-hour decay factor =0.87400)N(1)= 145.084 mg

Joseph consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Joseph's body decreases exponentia

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