The median weight of a boy whose age is between 0 and 36 months can be approximated by the function w(t) = 8.28 +1.81t– 0.0063t +0.000884t where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) through c) below. a) The rate of change of weight with respect to time. w (t) = 1.81 – 0.0126t + 0.0026521 b) The weight of the baby at age 11 months. The approximate weight of the baby at age 11 months is (Round to two decimal places as needed.) Ibs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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The median weight of a boy whose age is between 0 and 36 months can be approximated by the function
w(t) = 8.28 + 1.81t– 0.0063t + 0.000884t
where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) through c) below.
a) The rate of change of weight with respect to time.
w'(t) = 1.81 – 0.0126t + 0.002652t
b) The weight of the baby at age 11 months.
The approximate weight of the baby at age 11 months is
(Round to two decimal places as needed.)
Ibs.
Transcribed Image Text:The median weight of a boy whose age is between 0 and 36 months can be approximated by the function w(t) = 8.28 + 1.81t– 0.0063t + 0.000884t where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) through c) below. a) The rate of change of weight with respect to time. w'(t) = 1.81 – 0.0126t + 0.002652t b) The weight of the baby at age 11 months. The approximate weight of the baby at age 11 months is (Round to two decimal places as needed.) Ibs.
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