Question

9. The half-life of aspirin in your bloodstream is 12 hours. Use exponential model to

Answer 1

after 6.2 hours the dose will decay to 70% in your bloodstream.

How long you must wait for the dosage to decay to 70% in your bloodstream?

We know that the half-life is 12 hours. Then the exponential relation for an initial dosage of A is:

$D(t) = A*e^{-t*ln(2)/12h}$

If the dosage needs to decay to a 70% of the initial dosage, then we must have:

$e^{-t*ln(2)/12h} = 0.7$

Now we need to solve that for t:

If we apply the natural logarithm in both sides, we get:

$ln(e^{-t*ln(2)/12h}) = ln(0.7)\\\\-t*ln(2)/12h = ln(0.7)\\\\t = -ln(0.7)*12h/ln(2) = 6.2h$

So after 6.2 hours the dose will decay to 70% in your bloodstream.

If you want to learn more about half-life:

brainly.com/question/11152793

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