Question

# 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

Modeling
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.
The model of the decay equation is given by $$P = P_0e^{kt}$$ Here $$P_0 = 10$$ grams of iodine $$k = \text{rate of continuous rate} = - 8.6%$$ { 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 $$P = 10e^{−0.086t}$$