Converting a 0 - 6 scale to a 0 - 10 scale in a linear fashion

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If I have a scale between 0-6, and say, a value of 4. How would I stretch the scale to 0-10 without skewing the results. In other words, how would I stretch the result without it being logarithmic?




algebra-precalculus




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    Multiply by $10/6$?
    – Wojowu
    Jul 30 at 19:05














up vote
2
down vote

favorite












If I have a scale between 0-6, and say, a value of 4. How would I stretch the scale to 0-10 without skewing the results. In other words, how would I stretch the result without it being logarithmic?




algebra-precalculus




share|cite|improve this question

















  • 10




    Multiply by $10/6$?
    – Wojowu
    Jul 30 at 19:05












up vote
2
down vote

favorite









up vote
2
down vote

favorite











If I have a scale between 0-6, and say, a value of 4. How would I stretch the scale to 0-10 without skewing the results. In other words, how would I stretch the result without it being logarithmic?




algebra-precalculus




share|cite|improve this question













If I have a scale between 0-6, and say, a value of 4. How would I stretch the scale to 0-10 without skewing the results. In other words, how would I stretch the result without it being logarithmic?





algebra-precalculus





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 30 at 19:24









Brian Tung

25.2k32353




25.2k32353









asked Jul 30 at 19:02









Ewan Valentine

1133




1133







  • 10




    Multiply by $10/6$?
    – Wojowu
    Jul 30 at 19:05












  • 10




    Multiply by $10/6$?
    – Wojowu
    Jul 30 at 19:05







10




10




Multiply by $10/6$?
– Wojowu
Jul 30 at 19:05




Multiply by $10/6$?
– Wojowu
Jul 30 at 19:05










1 Answer
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Try this: if $G$ denotes your grade in the $0-6$ system, and $NG$ denoted the new grade in the $0-10$ system, then you want:



$$fracG6 = fracGN10.$$



Solving for $GN$ gives you



$$GN=frac10G6.$$



Thus, if you received $G=4$ in your old scale, in the new scale the grade would be $frac10 cdot 46 approx 6.67$






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    1 Answer
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    active

    oldest

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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    2
    down vote



    accepted










    Try this: if $G$ denotes your grade in the $0-6$ system, and $NG$ denoted the new grade in the $0-10$ system, then you want:



    $$fracG6 = fracGN10.$$



    Solving for $GN$ gives you



    $$GN=frac10G6.$$



    Thus, if you received $G=4$ in your old scale, in the new scale the grade would be $frac10 cdot 46 approx 6.67$






    share|cite|improve this answer

























      up vote
      2
      down vote



      accepted










      Try this: if $G$ denotes your grade in the $0-6$ system, and $NG$ denoted the new grade in the $0-10$ system, then you want:



      $$fracG6 = fracGN10.$$



      Solving for $GN$ gives you



      $$GN=frac10G6.$$



      Thus, if you received $G=4$ in your old scale, in the new scale the grade would be $frac10 cdot 46 approx 6.67$






      share|cite|improve this answer























        up vote
        2
        down vote



        accepted







        up vote
        2
        down vote



        accepted






        Try this: if $G$ denotes your grade in the $0-6$ system, and $NG$ denoted the new grade in the $0-10$ system, then you want:



        $$fracG6 = fracGN10.$$



        Solving for $GN$ gives you



        $$GN=frac10G6.$$



        Thus, if you received $G=4$ in your old scale, in the new scale the grade would be $frac10 cdot 46 approx 6.67$






        share|cite|improve this answer













        Try this: if $G$ denotes your grade in the $0-6$ system, and $NG$ denoted the new grade in the $0-10$ system, then you want:



        $$fracG6 = fracGN10.$$



        Solving for $GN$ gives you



        $$GN=frac10G6.$$



        Thus, if you received $G=4$ in your old scale, in the new scale the grade would be $frac10 cdot 46 approx 6.67$







        share|cite|improve this answer













        share|cite|improve this answer



        share|cite|improve this answer











        answered Jul 30 at 19:09









        Pawel

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