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A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 2200 kg. After 6 hours, 1518 kg of the substance is left.
(a) Let t be the time (in hours) since the beginning of the experiment, and let y be the amount of the substance (in kg) at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula. Do not use approximations.
y = $\Box e^{\Box t}$
(b) How much of the substance is left 23 hours after the beginning of the experiment?
Do not round any intermediate computations, and round your answer to the nearest whole number.
$\Box$ kg
Explanation
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