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Begining Linear Algebra Fruit and sugar problem!

  1. Oct 2, 2010 #1
    1. The problem statement, all variables and given/known data
    Pablo is a nutritionist who knows that oranges always have twice as much sugar as apples. When considering the sugar intake of schoolchildren eating a barrel of fruit, he represents the barrel like so:
    sugar
    fruit
    (s; f)

    There is a graph that has a 3/2 slope start from the origin with the sugar (s) variable on the x axis and fruit (f) on the y axis

    Find a linear transformation relating Pablo's representation to the one
    in the lecture. Write your answer as a matrix.
    Hint: Let "lambda" represent the amount of sugar in each apple.


    2. Relevant equations

    none

    3. The attempt at a solution

    I'm not sure where to start. =/ the equation is y=(3/2)x maybe i would convert it to (3/2)x-y=0 and yet up the matrix to be (3/2 -1) (x)
    (y)

    I'm not sure where to start =/
     
  2. jcsd
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