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

Answer 1

0.56 milligrams

Explanation:

Put 6 where t is and do the arithmetic.

M(6) = 50·e^(-0.75·6) = 50·e^-4.5 ≈ 0.56 . . . . milligrams