One type of Iodine disintegrates continuously at a constant rate of 8.6% per day. Suppose the original amount,P_0, is 10 grams, and let be measured in days. Because the Iodine is decaying continuously at a constant rate, we use the model P = P_0e^{kt} for the decay equation, where k is the rate of continuous decay. Using the given information, write the decay equation for this type of Iodine.

One type of Iodine disintegrates continuously at a constant rate of 8.6% per day. Suppose the original amount,P_0, is 10 grams, and let be measured in days. Because the Iodine is decaying continuously at a constant rate, we use the model P = P_0e^{kt} for the decay equation, where k is the rate of continuous decay. Using the given information, write the decay equation for this type of Iodine.

Question
Modeling
asked 2021-02-10
One type of Iodine disintegrates continuously at a constant rate of 8.6% per day. Suppose the original amount,\(P_0\), is 10 grams, and let be measured in days. Because the Iodine is decaying continuously at a constant rate, we use the model \(P = P_0e^{kt}\) for the decay equation, where k is the rate of continuous decay. Using the given information, write the decay equation for this type of Iodine.

Answers (1)

2021-02-11
The model of the decay equation is given by \(P = P_0e^{kt}\) Here \(P_0 = 10\) grams of iodine \(k = rate of continuous rate = - 8.6%\) { negative sign implies the decay} Which implies \(k = - 0.086\) t is measured in days Therefore, the decay equation for this type of Iodine is \(P = 10e^{−0.086t}\)
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