(a) Substituting gives 110 = A 174.9 = 110b, so that b = 174.9/110 = 1.59. Thus, the model is C(t) = 110(1.59t). (b) Putting t = 0.75 gives C(0.75) = 110(1.590.75)155.754. Thus, the model is accurate to within 0.754 million A.S.M.s per month. (c) Putting 400 = 110(1.59t) gives (400/110) = 1.59t ln (400/110) = t ln(1.59) whence t = ln(400/110) / ln(1.59))
2.75 That is, in November, 1996.