Sam was 28 inches tall on her first birthday, 50 inches tall on her 8th, and 62 inches tall on her 14th. (a) Let t represent Sam's age in years, and let h represent her height in inches. Determine the values of M, A, and k for a logistic model, h(t) = M / ( 1+ Ae-kt) , that fits the given height data. (b) What is Sam's theoretical long-term expected height? That is, what is limt➔∞h(t)? (c) At what age does the model predict that Sam will reach 95% of her expected maximum height?

Sam was 28 inches tall on her first birthday, 50 inches tall on her 8th, and 62 inches tall on her 14th. (a) Let t represent Sam's age in years, and let h represent her height in inches. Determine the values of M, A, and k for a logistic model, h(t) = M / ( 1+ Ae-kt) , that fits the given height data. (b) What is Sam's theoretical long-term expected height? That is, what is limt➔∞h(t)? (c) At what age does the model predict that Sam will reach 95% of her expected maximum height?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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