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.
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:
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