A method sometimes used by pediatricians to calculate the dosage of medicine for children is based on the child's surface area. If a denotes the adult dosage (in milligrams) and if S is the child's surface area (in square meters), then the child's dosage is given by D(S)= Sa 1.7. (a) Show that D is a linear function of S. Hint: Think of D(S) as having the form  D(S) = mS + b.  What is the slope m and the y-intercept b?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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A method sometimes used by pediatricians to calculate the dosage of medicine for children is based on the child's surface area. If a denotes the adult dosage (in milligrams) and if S is the child's surface area (in square meters), then the child's dosage is given by

D(S)=
Sa
1.7
.
(a) Show that D is a linear function of S.
Hint: Think of D(S) as having the form 
D(S) = mS + b.
 What is the slope m and the y-intercept b?
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