The average length of the outer ear for men can be modeled as f(x) = 0.89 + 0.495 In x inches where x is aligned input so that x(a) = a + 10 and a years is age, data from 0 < a < 70.† Calculate the average ear length and the rate of change of ear length for 30-year-old men. (Round your answers to three decimal places.) f(x(30)) X inches %3D df X inches per year %3D da a = 30 Write a sentence of interpretation for these results. (Round your answers to three decimal places.) inches and is increasing by approximately X inches per year. The average outer ear length for 30-year-old males is approximately

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The average length of the outer ear for men can be modeled as
f(x)
= 0.89 + 0.495 In x inches
where x is aligned input so that x(a) = a + 10 and a years is age, data from 0 < a < 70.†
Calculate the average ear length and the rate of change of ear length for 30-year-old men. (Round your answers to three decimal places.)
f(x(30))
X inches
%3D
df
X inches per year
%3D
da
a = 30
Write a sentence of interpretation for these results. (Round your answers to three decimal places.)
inches and is increasing
by approximately
X inches per year.
The average outer ear length for 30-year-old males is approximately
Transcribed Image Text:The average length of the outer ear for men can be modeled as f(x) = 0.89 + 0.495 In x inches where x is aligned input so that x(a) = a + 10 and a years is age, data from 0 < a < 70.† Calculate the average ear length and the rate of change of ear length for 30-year-old men. (Round your answers to three decimal places.) f(x(30)) X inches %3D df X inches per year %3D da a = 30 Write a sentence of interpretation for these results. (Round your answers to three decimal places.) inches and is increasing by approximately X inches per year. The average outer ear length for 30-year-old males is approximately
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