A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Justbefore each tablet is taken, 20% of the drug remains in the body.(a) How much of the drug is in the body just after the second tablet is taker ?After the third tablet?(b) If Qn is the quantity of the antibiotic in the body just after the nth tablet istaken, find an equation that expresses Qn +1is terms of Qn.(c) What quantity of the antibiotic remains in the body in the long run?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just
before each tablet is taken, 20% of the drug remains in the body.
(a) How much of the drug is in the body just after the second tablet is taker ?
After the third tablet?
(b) If Qn is the quantity of the antibiotic in the body just after the nth tablet is
taken, find an equation that expresses Qn +1
is terms of Qn.
(c) What quantity of the antibiotic remains in the body in the long run?
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