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Math Help - If 30 units = 500 and 300 units = 1500 what would say 80 units = ?

  1. #1
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    If 30 units = 500 and 300 units = 1500 what would say 80 units = ?

    I think I need a graphing calculator of some kind.

    I want a calculator or a formla for a spread sheet or just a quick way to work out a math problem.

    If 30 units = 500 and 300 units = 1500

    From this a line on a graph could be drawn that would then tell me the value of any number of units.

    what would say 80 units = ?

    Maybe I could have explained this better. I hope it makes sense.

    Any ideas anyone?

    Thanks

    MIke
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  2. #2
    Newbie Arch_Stanton's Avatar
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    Firstly, we need to find the conversion factor (something like between Celcius <=> Fahrenheit relations):
    300u-30u=1500-500
    270u=1000
    1u=\frac{100}{27}+X
    increase of 1u is equal to increase of value \frac{100}{27} and it's obvious, that both scales start in different places, so we need to find the constant number, which will be added during conversion:
    30u=500
    30*\frac{100}{27}+X=500 \Rightarrow X=\frac{3500}{9}
    we can treat it as a function: u(n)=\frac{100}{27}n+\frac{3500}{9}
    and then: u(80)=\frac{100}{27}*80+\frac{3500}{9}=\frac{18500  }{27}=688,(185)

    Of course I assumed, that the units are linear to values, in reality, they might look different. I mean, that grafically our function is a linear function, which might be any other one as well. I hope you kow what I mean.
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  3. #3
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    wow....

    Well you lost me after the first line

    Then I picked it up again at "Of course I assumed,"

    I thought you would have said here go to this online calculator and put your numbers in and hit the big red button.

    I did it in excel by listing the two columns of data and dividing them up. Crude but it did the job.

    Thanks for your reply though.

    Regards

    Mike
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  4. #4
    Newbie Arch_Stanton's Avatar
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    Since it's a mathematical problem, there is an infinitive amount of functions suiting to these units, just linear is most likely but the values may rise exponentially as well.
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