Answer:
0.47
Explanation:
The Growth/decay factor is a factor that determines how fast a process increase or decreases.
Given 10 hrs decay/growth factor = 0.2213
5 hrs decay/growth factor x=?
To obtain the 5 hours decay/growth factor we have to obtain 1-hour decay/growth factor;
let x be the 1-hour growth/decay factor and we have the expression below;
[tex]x^{10} = 0.2213[/tex]
[tex]x = 0.2213^{\frac{1}{10} }[/tex]
x = 0.86
The one-hour growth/decay factor is 0.86
Now the 5-hours growth/decay will be;
[tex]5 hr decay factor = (1 hour decay factor)^{5}[/tex]
[tex]5 hr decay factor = (0.86)^{5}[/tex]
5 hours growth/decay factor = 0.47
Therefore, the five-hours growth/decay factor for the number of mg of caffeine in Juwan's body is 0.47
