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Select the correct answer.Which of the following situations can be modeled by the equation?A radioactive decay of 6.67% per year for a block of plutonium-238 that has an initial mass of 7.71 grams. B. A radioactive decay of 93.33% per year for a block of plutonium-238 that has an initial mass of 7.71 grams. C. A radioactive decay of 92.29% per year for a block of plutonium-238 that has an initial mass of 93.33 grams. D. A radioactive decay of 7.71% per year for a block of plutonium-238 that has an initial mass of 93.33 grams.

Select the correct answerWhich of the following situations can be modeled by the equationA radioactive decay of 667 per year for a block of plutonium238 that ha class=

Respuesta :

In the given expression, the decaying factor is (0.9333)^t:

[tex]m=7.71(0.9333)^t[/tex]

Due to that factor, for each unit t increases, the expression is reduced to 0.9333 of the previous value. The relative difference between the previous value and the next one, is:

[tex]1-0.9333=0.0667=6.67\%[/tex]

Then, this equation models a decay of 6.67% per unit t. It could be a radioactive decay rate where the time is measured in years.

Therefore, the correct choice is: Option A) A radioactive decay of 6.67% per year.

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