What is the equation?

Question

Q) A dose of penicillin breaks down in your blood stream so that one hour after the injection there is only 60% remaining active. A patient is given an injection of 300mg at a rate of -0.5 per hour, write a function rule in the form of d(t)=de^rt that can be used to determine the amount of penicillin left in the blood stream after any number of hours.

Answer 1

d = 300

r = -.5

t = time in hours

d(t) = 300e^-0.5(t)

You can check this function with the information given (60% remains active after 1 hour (t=1))

.6(300) = 300e^-0.5(1)

180 = 181.959 pretty close I think (perhaps with round off error on the 60%)

Hope this helps?!