Learning Researchers used a version of the Gompertz curve

Chapter , Problem 71A

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Problem 71A

Learning Researchers used a version of the Gompertz curve to model the rate that children learn with the equation

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where y(t) is the portion of children of age t years passing a certain mental test, A = 0.3982 × 10−291, and c = 0.4252. Find the inflection point and describe what it signifies. (Hint: Leave Aand c as constants until you are ready to calculate your final answer. If A is too small for your calculator to handle, use common logarithms and properties of logarithms to calculate (log A)/(log e).)Source: School and Society.

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