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The half-life of a certain type of soft drink is 8 hours. If a person drinks 50 milliliters of this drink, the formula y = 50(0.5)^t/8 tells the amount of the drink left in the person's system after t hours. How much of the soft drink is in the person's system after 13 hours? The person's system contains_______ of the soft drink. (Type an integer or decimal rounded to the nearest tenth as needed.)

Answer :

Answer:

16.2 milliliters of the soft drink is left in the person's system

Explanation:

Parameters:

• The half-life of the soft drink = 8 hours

,

• Drinks by a person = 50 milliliters

,

• The amount of drink left in the person's system after t hours is given as:

[tex]y=50(0.5)^{\frac{t}{8}}[/tex]

After 13 hours (i.e t = 13), the amount of drink left in the person's system is:

[tex]\begin{gathered} y=50(0.5)^{\frac{13}{8}} \\ =50(0.5)^{1.875} \\ =16.2 \end{gathered}[/tex]

16.2 milliliters of the soft drink is left in the person's system