Question

Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of days since Sofia took the medication. The amount of medication in her system after t days is S = 10(½)t. Four days later, Lexi takes 10mg of the same medicine. How much medication, L, is in Lexi’s system on day t?

Answer 1

The correct answer is C.

L = 10 (1/2)^t-4

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Answer 2

Answer:  Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$

Step-by-step explanation:

Since we have given that

Initial amount Sofia takes of a medicine = 10 mg

Concentration in blood decreases by a factor of one half every day.

So, it becomes,

$S=10(\frac{1}{2})^t\\\\here,\text{ t denotes number of days}$

According to question, four days later, it becomes,

$S=10(\frac{1}{2})^4\\\\S=\frac{10}{16}\\\\S=0.625\ mg$

We have given that Lexi takes 10 mg of the same medicine.

So, it becomes,

$10+0.625\\\\10.625\ mg$

Hence, Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$