The half-life of caffeine in the human body is typically in the range of 3 to 5 hours. So, let's take the average and say it's 4 hours. This means that every 4 hours, the amount of caffeine in your system is halved.

1. At 10 pm you drink the energy drink, so you have 95 mg of caffeine in your system.
2. At 2 am (4 hours later), you have 95 / 2 = 47.5 mg left.
3. At 6 am (another 4 hours later), you have 47.5 / 2 = 23.75 mg left.
4. At 7:30 am (1.5 hours later), the caffeine will have continued to decrease, but not by half since it's not a full 4 hours. We can estimate by dividing the 1.5 hours by 4 hours to get a fraction of the half-life period, which is 0.375. So, we multiply the amount of caffeine left at 6 am by this fraction: 23.75 * 0.375 = 8.9 mg.

So, at 7:30 am, you would have approximately 8.9 mg of caffeine left in your system, rounded to the nearest tenth.

Question

The half-life of caffeine in the human body is typically in the range of 3 to 5 hours. So, let's take the average and say it's 4 hours. This means that every 4 hours, the amount of caffeine in your system is halved.

1. At 10 pm you drink the energy drink, so you have 95 mg of caffeine in your system.
2. At 2 am (4 hours later), you have 95 / 2 = 47.5 mg left.
3. At 6 am (another 4 hours later), you have 47.5 / 2 = 23.75 mg left.
4. At 7:30 am (1.5 hours later), the caffeine will have continued to decrease, but not by half since it's not a full 4 hours. We can estimate by dividing the 1.5 hours by 4 hours to get a fraction of the half-life period, which is 0.375. So, we multiply the amount of caffeine left at 6 am by this fraction: 23.75 * 0.375 = 8.9 mg.

So, at 7:30 am, you would have approximately 8.9 mg of caffeine left in your system, rounded to the nearest tenth.

Knowee AI · Accepted Answer

The half-life of caffeine in the human body is typically in the range of 3 to 5 hours. So, let's take the average and say it's 4 hours. This means that every 4 hours, the amount of caffeine in your system is halved.

1. At 10 pm you drink the energy drink, so you have 95 mg of caffeine in your system.
2. At 2 am (4 hours later), you have 95 / 2 = 47.5 mg left.
3. At 6 am (another 4 hours later), you have 47.5 / 2 = 23.75 mg left.
4. At 7:30 am (1.5 hours later), the caffeine will have continued to decrease, but not by half since it's not a full 4 hours. We can estimate by dividing the 1.5 hours by 4 hours to get a fraction of the half-life period, which is 0.375. So, we multiply the amount of caffeine left at 6 am by this fraction: 23.75 * 0.375 = 8.9 mg.

So, at 7:30 am, you would have approximately 8.9 mg of caffeine left in your system, rounded to the nearest tenth.

You decide to drink an energy drink at 10 pm to stay awake to study. If the energy drinks contains 95 mg of caffeine how much is in your system at 7:30 am when you wake up and are ready for school, round you asnwer to the nearest tenth

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