Question

The half life of a medication is the amount of time for half of the drug to be eliminated from the body. The half life of advil or ibuprofen is represented by the equation R=M(0.5)^t/2, where R is the amount of Advil remaining in the body, M is the initial dosage and t is time in hours. a-A 200 milligram dosage of Advil is taken at 1:00pm. How many milligrams of the medication will remain in the body at 6:00pm? b- if a 200 milligram dosage of advil is taken home many milligrams of the medication will remain in the body 12 hours later?

Answer 1

In short, part A is from 1pm to 6pm, well, that's 5 hours, namely t = 5.

and part B is t = 12, so we simply plug those values in, nothing to it.

$\bf R=M(0.5)^{\frac{t}{2}}\qquad \qquad \stackrel{t=5}{R=M(0.5)^{\frac{5}{2}}}\qquad \qquad \stackrel{t=12}{R=M(0.5)^{\frac{12}{2}}}$

and round it up as needed if any.