Question

12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

in the patient's bloodstream h hours after the drug has been administered.

(a) What was the initial dosage?

(b) How many milligrams will be present after 1 hour? After 4 hours?


please help..

Answer 1

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Explanation:

It is given M(h)= 10
`e^(-0.173h)`

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10
`e^(-0.173*1)`

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10
`e^(-0.173*4)`

M(4)=10(0.50057)

M(4) =5.0057 milligrams