Which number is multiple of 17? A) 32 B) 48 C) 57 D) 85
2 answers:
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Answer:
Husband:
The husband will have 16.35 mg of caffeine in his body at 7 pm.
Woman:
The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.
Step-by-step explanation:
The amount of caffeine in the body can be modeled by the following equation:
In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.
110 mg of caffeine at 8 am,
So
Husband
Half life of 4 hours. So
Applying ln to both sides
So for the husband
At 7 pm
7 pm is 11 hours after 8 am, so this is C(11)
The husband will have 16.35 mg of caffeine in his body at 7 pm.
Pregnant woman
Half life of 10 hours. So
Applying ln to both sides
At 7 pm
7 pm is 11 hours after 8 am, so this is C(11)
The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.