## Olivia has taken an initial dose of a prescription medication. The relationship between the elapsed time t, in hours, sinc

Question

Olivia has taken an initial dose of a prescription

medication.

The relationship between the elapsed time t, in hours,

since she took the first dose, and the amount of

medication M(t), in milligrams (mg), remaining in her

bloodstream is modeled by the following function.

M(t) = 50 .e-0.75t

How many milligrams of the medication will be remaining

in Olivia’s bloodstream after 6 hours?

Round your answer, if necessary, to the nearest

Hundredth

in progress
0

Math
3 weeks
2021-11-07T07:20:38+00:00
2021-11-07T07:20:38+00:00 1 Answer
0 views
0
## Answers ( )

Answer:0.56 milligrams

Step-by-step explanation:Put 6 where t is and do the arithmetic.

M(6) = 50·e^(-0.75·6) = 50·e^-4.5 ≈

0.56 . . . . milligrams