Topic: The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations y = 0.432x - 10.44 (female) y = 0.449x - 12.15 (male) where y is the length of the femur in inches and x is the height of the adult in inches (see figure). y in. Y femur x in. Is there a height for which the length of the femur bones of an adult male and an adult female will be equal? If so, what is that height? If not, explain why not? Explain your reasoning.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 59HP
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Topic: The relationship between the length of an adult's femur (thigh bone) and the height of the
adult can be approximated by the linear equations
y = 0.432x - 10.44 (female)
y = 0.449x - 12.15 (male)
where y is the length of the femur in inches and x is the height of the adult in inches (see figure).
y in.
femur
x in.
Is there a height for which the length of the femur bones of an adult male and an adult female
will be equal? If so, what is that height? If not, explain why not? Explain your reasoning.
Transcribed Image Text:Topic: The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations y = 0.432x - 10.44 (female) y = 0.449x - 12.15 (male) where y is the length of the femur in inches and x is the height of the adult in inches (see figure). y in. femur x in. Is there a height for which the length of the femur bones of an adult male and an adult female will be equal? If so, what is that height? If not, explain why not? Explain your reasoning.
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