Radon-222 is an isotope that undergoes radioactive decay. For a sample initially containing 450milligrams of radon-222, the function m(t)=450(0.83)t models the mass of radon-222, in milligrams, remaining after t days. According to the model, how does the mass of the radon-222 in the sample change over time?
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According to the model, the mass of the radon-222 in the sample decreases over time. This is because the exponent t is positive and less than 1, which means that the value of 0.83^t decreases as t increases. Therefore, as t increases (representing the number of days passed), the value of 0.83^t decreases, resulting in a decrease in the mass of radon-222 remaining in the sample.
