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After t days, the mass m, in grams, of 100 grams of a certain radioactive element is given by the function f(x) = 1000 (0.97)^t. To the nearest percent, what is the WEEKLY decay rate of the element?

Sagot :

Kieramalana08idn

Answer:

19%

Step-by-step explanation:

??i think I'm not sure

The weekly decay rate of the element is 3% if the after t days, the mass m, in grams, of 100 grams of a certain radioactive element.

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

After t days, the mass m, in grams, of 100 grams of a certain radioactive element is given by the function:

[tex]\rm f(x) = 100 (0.97)^t[/tex]

The exponential function is given by:

[tex]\rm f(x) = A(1-r)^t[/tex]

1—r = 0.97  (after comparing)

r = 0.03

r = 3%

Thus, the weekly decay rate of the element is 3% if the after t days, the mass m, in grams, of 100 grams of a certain radioactive element.

Learn more about the exponential decay here:

brainly.com/question/14355665

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