The half life of a certain radioactive material is 36 days.
The half-life of a certain radioactive material is 36 days. An initial amount of this material has a mass of 487 kg. Please write an exponential function that models the decay of this material. Additionally, calculate how much radioactive material remains after 5 days, rounding your answer to the nearest thousandth.
a) ( y = 487 \left( \frac{1}{2} \right)^{\frac{5}{36}} ); 0.318 kg
b) ( y = 2 \left( \frac{1}{487} \right)^{\frac{5}{36}} ); 0.847 kg
c) ( y = 487 \left( \frac{1}{2} \right)^{\frac{5}{36}} ); 442.302 kg
d) ( y = 2 \left( \frac{1}{487} \right)^{5} ); 0 kg
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