t point) Redo problem 42 in the Chapter 4 Review Problems of your textbook (page
ID: 2886239 • Letter: T
Question
t point) Redo problem 42 in the Chapter 4 Review Problems of your textbook (page 225) but use the table and function below rather than the one in your textbook: The tollowing table gives the percentage, P, of households with a television set that also have a VCR. (Unlike the data in your textbook, this data s Year 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 having VCR 02 0. 07 14 2.7 5.0 94 15.3 24.9 36.9 470 532 60.5 62.3 ) During what year does the point of "diminishing retums0.e, the infection point) appear to take place? During the year 1985 b) If the best fitting logistic function for this data is 65 1+370e-0687 (where t is years since 1978) what is the limiting value (as t gets very large)? 65 percemt c) What is the exact difference (f any) between the value predicted by the given function and the value stated in the table for the year 1987?Explanation / Answer
a)
From the given table, (fastest increase of 12)
in the year 1987
b)
Limiting value is carrying capacity, which is 65
c)
Difference is (here t=9 corresponds to year 1987)
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