Begining Linear Algebra Fruit and sugar problem!


by Liondancer
Tags: algebra, begining, fruit, linear, sugar
Liondancer
Liondancer is offline
#1
Oct2-10, 11:05 PM
P: 8
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 =/
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