According to a particular model for predicting the height of preschool children, the rate of growth a typical preschool child is R(t) = 27.376e-0.992t + 5.63 (4 < t = 6) centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 61.4200 cm. (a) Find a model for predicting the height of a typical preschool child at age t. (Round numerical values to four decimal places.) H(t) = (b) Use the result of part (a) to estimate the height of a typical 4-year-old child. (Round your answer to two decimal places.) X cm
According to a particular model for predicting the height of preschool children, the rate of growth a typical preschool child is R(t) = 27.376e-0.992t + 5.63 (4 < t = 6) centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 61.4200 cm. (a) Find a model for predicting the height of a typical preschool child at age t. (Round numerical values to four decimal places.) H(t) = (b) Use the result of part (a) to estimate the height of a typical 4-year-old child. (Round your answer to two decimal places.) X cm
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
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Transcribed Image Text:According to a particular model for predicting the height of preschool children, the rate of growth of a typical preschool child is
-0.992t
R(t) = 27.376e
(1 ≤ t ≤6)
+ 5.63
centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 61.4200 cm.
(a) Find a model for predicting the height of a typical preschool child at age t. (Round numerical values to four decimal places.)
H(t) =
=
X
(b) Use the result of part (a) to estimate the height of a typical 4-year-old child. (Round your answer to two decimal places.)
x cm
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