Question

Harper takes 623 milligrams of an antibiotic. Every hour, her body breaks down 13% of the drug. How much will be left after 6 hours?If necessary, round your answer to the nearest tenth.

Answer 1

Harper takes 623 milligrams of an antibiotic.

Every hour, her body breaks down 13% of the drug.

First hour : 13 % of the total.

`\begin{gathered} 13\text{ \% of 623 milligrams} \\ (13)/(100)*623=80.99\text{milligrams} \end{gathered}`

After six hours , the body would have break

multipy the first hour result by six

`80.99*6=485.94milligrams`

How much will be left after 6 hours, subtract the result from the total:

`623-485.94=137.06\text{milligrams}`

Therefore the antibiotics left will be 137.1 milligrams to the nearest tenth.

`137.1\text{milligrams}`