in one hour, the human body processes about 11.5% of the caffeine in the blood. if your teacher drank a cup of coffee with 175 mg of caffeine 3 hours ago, how much caffeine remains in her blood

Respuesta :

121.3 grams of caffeine is remaining in her blood

How to determine the amount of caffeine?

The given parameters are:

  • Initial, a = 175 mg
  • Rate, r = 11.5%
  • Time, t = 3 hours

The amount of caffeine is calculated as:

A(t) = a(1 - r)^t

This gives

A(t) = 175 * (1 - 11.5%)^t

At 3 hours, we have:

A(3) = 175 * (1 - 11.5%)^3

Evaluate

A(3) = 121.3

Hence, 121.3 grams of caffeine is remaining in her blood

Read more about exponential functions at:

https://brainly.com/question/2456547

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