Question

A typical cup of coffee contains about 82 mg of caffeine and every hour approximately 19% is metabolized and eliminated.

  1. Write the definition of a function named k that expresses the amount of caffeine in the body in mg as a function of t, the number of hours since the coffee was consumed.

 

  • How much caffeine is in the body after 7 hours?

    mg

 

A 80 mg of a vaccine is given to a patient to prevent measles.  The vaccine leaves the body at a rate of 4.8% per hour.

  1. Define a function g that gives the mass of the vaccine remaining in the body, V, in terms of the number of hours, n since the vaccine was administered.

    How much of the vaccine remains in the body 24 hours after it was administered?

    mg

 

  • Use your graphing calculator to determine how many hours passed before there were only 5mg of the vaccine remaining in the body.

    hours

 

 

 

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