Question

Blake's body metabolizes caffeine at a rate of 14.7% per hour (so the amount of caffeine in blake's body decreases by 14.7% each hour). if blake consumes a cup of coffee with 82 mg of caffeine in it, how long will it take for blake's body to metabolize half of the 82 mg of caffeine?

Answer 1

It will take around 4.7 hours for Blake's body to metabolize half of the 82 mg of caffeine.

Step-by-step explanation:

To calculate how long it will take for Blake's body to metabolize half of the caffeine, we need to find the number of hours it takes for the caffeine to decrease by 50%.

Blake's body metabolizes caffeine at a rate of 14.7% per hour. This means that after one hour, the caffeine level will be 100% - 14.7% = 85.3% of the original amount. After two hours, it will be 85.3% - 14.7% = 70.6% of the original amount.

We can continue this calculation until we reach a value that is approximately 50%. By doing so, we find that it will take around 4.7 hours for Blake's body to metabolize half of the 82 mg of caffeine.