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

ruigE

ruigE

Answered question

2021-02-25

Diego consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Diegos

Answer & Explanation

i1ziZ

i1ziZ

Skilled2021-02-26Added 92 answers

1 hours decay factor =(10hours decay factor)1/10=(0.2785)1/10=0.8799
5 hours decay factor =(1hours decay factor)5=(0.8799)5=0.5274


1-hour growth/decay factor for the number of mg of caffeine in Diego's body is 0.8799

The amount of caffeine after 1.49 hours is,
Amount=initialAmount* (0.8799)(1.49)
180=initialAmount* (0.8799)1.49.........(1)
Amount=initial Amount* (0.8799)2.49
=initial Amount* (0.8799)1.49+1
=initialAmount* (0.8799)1.49(0.8799)
=180(0.8799)=158.382
Answer: 158.382 mg of caffeine is in Diego's body 2.49 hours after consuming the energy drink.

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