Sam was 28 inches tall on her first birthday, 50 inches tall on her eighth, and 62
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Sam was 28 inches tall on her first birthday, 50 inches tall on her eighth, 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 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 long-term expected height? That is, what is
(c) At what age does the model predict that Sam will reach 95% of her expected maximum height?
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