A radioactive sample has an initial mass of

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A radioactive sample has an initial mass of 120 g120\,\text{g}. Five hours later, the mass is 80 g80\,\text{g}. Assuming the mass M(t)M(t) (in grams) decays at a rate proportional to the amount present, approximately how many additional hours (beyond the initial 5 hours) will pass before the mass decreases to 50 g50\,\text{g}? (a) 3.8 h3.8\,\text{h} (b) 5.8 h5.8\,\text{h} (c) 10.8 h10.8\,\text{h} (d) 8.1 h8.1\,\text{h}

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