Three hours after taking a pain medication, 41% of the medication still remains in the bloodstream. Let m be the 1-hour decay factor.

a. What is the 3-hour decay factor as a numeric value?

What is the 3-hour decay factor in terms of m ?

b. Use your results from part a. to find the 1-hour decay factor.
m=

c. Find the 6-hour decay factor.

d. Find the 15-minute decay factor.

1 answer

(a) 3-hr factor is 0.41
m^3 = 0.41

(b)m = 0.743

(c) m^6 = 0.41^2 = 0.168

(d) 15min = 1/4 hr, so that is
m^(1/4) = 0.928