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Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg were
used in a procedure. Write an equation that can be used to determine how much of
the isotope is left after x number of half-lives.

Sagot :

The exponential function that can be used to determine how much of the isotope is left after x number of half-lives is given by:

[tex]A(x) = 90(0.5)^x[/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, the initial amount is of A(0) = 90 mg, and we are working with half-lifes, hence r = 0.5, which means that the equation is:

[tex]A(x) = 90(0.5)^x[/tex]

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

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