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tekilochka [14]
3 years ago
10

Juwan consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Juan's body d

ecreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Juan's body is 0.2213. What is the 5-hour growth/decay factor for the number of mg of caffeine in Juwan's body
Health
1 answer:
Ghella [55]3 years ago
4 0

Answer:

<em>0.47</em>

Explanation:

The Growth/decay factor is a factor that determines how fast a process increase or decreases.

<h3>Calculations</h3>

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;

x^{10}  = 0.2213

x = 0.2213^{\frac{1}{10} }

x = 0.86

The one-hour growth/decay factor is 0.86

Now the 5-hours growth/decay will be;

5 hr decay factor = (1 hour decay factor)^{5}

5 hr decay factor = (0.86)^{5}

5 hours growth/decay factor = 0.47

<em>Therefore, the five-hours growth/decay factor for the number of mg of caffeine in Juwan's body is </em><em>0.47</em>

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