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An experiment is taking place involving an exponentially decaying radioactive element with a decay factor of...

An experiment is taking place involving an exponentially decaying radioactive element with a decay factor of 5%. If 34.6 grams of the element are left 4 months after the start of the experiment,

(a) create a model for the remaining mass of the element M(x) as a function of months since the start of the experiment. Assume a basic exponential model of the form M(x) = a·b^x.

(b) determine the mass of the element after 6 months.

(c) determine the half-life of the element, or how long it takes for the original sample to become half of its original mass.

Math   Precalculus   
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