orozcoalbeert

14.10.2019 • 

Mathematics

Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is absorbed into the bloodstream. suppose that, for a dosage of x mg, the bioavailability is h(x) = 1 2 x mg. if x mg enters the bloodstream, suppose that the amount eventually absorbed into the site of an infection is given by g(x) = 4x/(x + 4) mg. finally, if x mg is absorbed into the site of an infection, suppose that the number of surviving bacteria is given by f(x) = 3200/(8 + x2), measured in colony forming units, cfu. 1.) derive the function that relates oral dosage to the number of surviving bacteria. you do not need to simplify.

2.) suppose the antibiotic is instead administered by injection. derive the function that relates dosage to the number of surviving bacteria. you do not need to simplify. why is this different than the formula obtained in part b?

Ответ:

katherinelondon4002

24.07.2020

Mathematics

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 x ≥ 5

Since x is a natural number, this is the same as saying x > 4

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Explanation:

Let's solve for x

Since , this means x is a natural number and a value from the set {1,2,3,4,...} aka the set of positive whole numbers. Zero is not in the set of natural numbers.

So we'll need to round that 4.667 to the nearest whole number to get x ≥ 5

If we were to replace x with anything from the set {5, 6, 7, 8, ...}, then that would make the original inequality to be true.

The notation x ≥ 5 and x > 4 are identical when x is a natural number, because we're describing the same solution set of any whole number 5 or larger.

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