Suppose that for some values of A and r, P(t) = Ae^(rt) and we know that P(5)=200 and P(7)=325. Find A and r. I can't do it, because I cannot isolate A, or r to solve for them.
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Originally Posted by Velvet Love Suppose that for some values of A and r, P(t) = Ae^(rt) and we know that P(5)=200 and P(7)=325. Find A and r. I can't do it, because I cannot isolate A, or r to solve for them. Ae^5r = 200 implies A = 200/e^5r so 325 = Ae^7r = 200e^7r/e^5r = 200e^2r so r = .5*ln(325/200), and we can plug this in to find A
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