Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-The amount of a certain drug in the bloodstream is modeled by the function $\mathrm { y } = \mathrm { y } _ { 0 } \mathrm { e } ^ { - 0.40 \mathrm { t } }$ , where $\mathrm { y } _ { 0 }$ is the amount of the drug injected (in milligrams) and $t$ is the elapsed time (in hours) . Suppose that 10 milligrams are injected at 10:00 A.M. If a second injection is to be administered when there is 1 milligram of the drug present in the bloodstream, approximately when should the next dose be given? Express your answer to the nearest quarter hour.

A) 5:45 P.M
B) $5 : 30$ P.M
C) $3 : 45$ P.M
D) $12 : 30$ P.M