Radioactive substances A and B have decay constants of 0.02 and 0.06, respectively. If a mixture of these two substances at time t= 0 contains MA grams of A and MB grams of B, then a model for the total amount y of the mixture -0.02t -0.06t Suppose the initial amounts MA and MB are unknown, but a scientist is able to measure the total amount present at several times and records the following points (t₁, y₁): (10, 21.31), (11, 20.69), (12, 20.05), (14, 18.89), and (15, 18.29). a. Describe a linear model that can be used to estimate MA and MB. 0.02t b. Find the least-squares curve based on the equation y = MAe¯ present at time t is y= = MAе e =y=₁B= a. Identify X, y, ß, and & in the model y = XB + ε. X = MA MB + M₂е P 8: 81 €2 €3 €4 Grº . €5 + MBe -0.06t

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