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A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the compound will remain after 8 hours?

A: C=260(1.038)^8C=260(1.038)^8

B: C=260(0.962)^8C=260(0.962)^8

C: C=260(0.038)^8C=260(0.038)^8

D: C=260(1-0.38)^8C=260(1−0.38)^8

Respuesta :

The exponential equation that represents how many grams of the compound will remain after 8 hours is:

B: C=260(0.962)^8

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.

A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:

[tex]A(t) = 260(1 - 0.038)^t[/tex]

[tex]A(t) = 260(0.962)^t[/tex]

After 8 hours, the amount is given by:

[tex]A(t) = 260(0.962)^8[/tex]

Hence option B is correct.

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

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