Mathematics
Grade10
Easy

Question

The half-life of a certain type of soft drink is 5 h. If you drink 50 mL of this drink, the formula Error converting from MathML to accessible text. tells the amount of drink left in your system after t hours. How much of the soft drink will be left in your system after 16 hours?

  1. 6 mL
  2. 5.44 mL
  3. 7.2 mL
  4. 3 mL

hintHint:

General Expression evaluation.

The correct answer is: 5.44 mL


    Given That:
    The half-life of a certain type of soft drink is 5 h. If you drink 50 mL of this drink, the formula Error converting from MathML to accessible text. tells the amount of drink left in your system after t hours. How much of the soft drink will be left in your system after 16 hours?
    >>>we have given t as 16 hours
    >>>Then Error converting from MathML to accessible text. becomes:
    y equals 50 left parenthesis 0.5 right parenthesis to the power of 16 over 5 end exponent
    y equals 50 cross times 0.1088
    y equals 5.44
    >>>Therefore, the soft drink left out in the stomach is 5.44 ml after 16 hours.

    Put t = 16,
    y  = 50(0.5)space 16 over 5 = 5.44 mL

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