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uysha [10]
3 years ago
15

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?
Mathematics
2 answers:
galben [10]3 years ago
8 0

The correct answer is C.

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

-nyfb

bazaltina [42]3 years ago
3 0

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}

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