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If x/100 is 60 and x/200 is 30 why doesn't x/150 = 45?

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Because the graph isnt linear. How we represent this function would be to solve for x (6000) and then rewrite the function as:

f(x) = 6000/x

If you plug that into a graphing calculator, you'll get a better picture of whats going on
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Compare the numbers 1/2 , 1/3 and 1/4. Can you see that the difference between 1/2 and 1/3 is not the same as the difference between 1/3 and 1/4.
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You've essentially answered your own question. It's 40, which is a pretty good reason for it not to be 45.

Also if what you were saying were true, couldn't you continue the pattern to x/300 = 0 and x/0 = 90?
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Graph the function:  

y = 6000/x
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because division isn't linear. what you are doing by suggesting 6000/150 = 45 is drawing a straight line between the points (100, 60) and (200, 30) and doing linear interpolation. but the graph of y = 6000/x isn't a straight line.

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