According to a particular model for predicting the height of preschool children, the rate of growth of a typical preschool child is R(t) = 25.907e-0.983t + 5.12 centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 55.6100 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 5-year-old child. (Round your answer to two decimal places.) ст

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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According to a particular model for predicting the height of preschool children, the rate of growth of a typical preschool child is
R(t) = 25.907e-0.983t + 5.12
centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 55.6100 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 5-year-old child. (Round your answer to two decimal places.)
cm
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 R(t) = 25.907e-0.983t + 5.12 centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 55.6100 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 5-year-old child. (Round your answer to two decimal places.) cm
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