The dose D (in milligrams, mg) of a certain medicine for a child of mass m kg is determined by the equation D=am+b, where aand b are constants.  For a child of mass 20 kg the correct dose is 115 mg, and for a child of mass 25 kg the correct dose is 137.5 mg.  Determine the value of a and the value of b.   Find the correct dose that should be given to a child with mass 23kg.    Suggest reason(s) why the equation may not be appropriate for determining the dosage required for an adult with mass 100 kg.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
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The dose D (in milligrams, mg) of a certain medicine for a child of mass m kg is determined by the equation D=am+b, where aand b are constants. 

For a child of mass 20 kg the correct dose is 115 mg, and for a child of mass 25 kg the correct dose is 137.5 mg. 

  1. Determine the value of a and the value of b.

 

  1. Find the correct dose that should be given to a child with mass 23kg. 

 

  1. Suggest reason(s) why the equation may not be appropriate for determining the dosage required for an adult with mass 100 kg. 
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