Answered

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A certain medication is eliminated from the bloodstream at a rate of about 17% per
hour. the medication reaches a peak level in the bloodstream of 60 milligrams.
determine the multiplier used to predict the amount of medication remaining 2
hours after the peak level.

Sagot :

Using an exponential function, it is found that the multiplier used to predict the amount of medication remaining 2 hours after the peak level is of 0.6889.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, we have that the decay rate is of r = 0.17, hence:

[tex]A(t) = A(0)(0.83)^t[/tex]

After 2 hours, the multiplier is given by:

[tex]A(2) = A(0)(0.83)^2 = 0.6889A(0)[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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