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a quantity of insulin sued to regulate sugar in the bloodstream breaks down by 5% each minute. A body-weight adjusted does is generally 10 units. write a function representing the amount of the dose that remains A(t)=a(±r)^t

Respuesta :

The exponential function for the amount of the dose that remains is given by:

[tex]A(t) = 10(0.95)^t[/tex]

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 initial amount is of 10 units, with a decay rate of 5%, hence A(0) = 10, r = 0.05, and the equation is given by:

[tex]A(t) = 10(0.95)^t[/tex]

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

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