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Math Help - Two Variation Problems

  1. #1
    VAP
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    Two Variation Problems

    Hello!
    I have to do the following for the two problems below:
    1. Decide if it is a direct or inverse variation.
    2. Define variables
    3. Write a variation equation.

    I know how to do #2, but not the others. May I have some help, please?

    Problem 1
    You buy apples for 79 cents/pound.

    Problem 2
    Indoor soccer league fees of $279 are split among the team members.


    Thank you!
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  2. #2
    Moo
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    Hello,

    Quote Originally Posted by VAP View Post
    Hello!
    I have to do the following for the two problems below:
    1. Decide if it is a direct or inverse variation.
    2. Define variables
    3. Write a variation equation.

    I know how to do #2, but not the others. May I have some help, please?
    A direct variation means that if one of the variables increases then so does the other one.
    An inverse variation means that if one of the variables decreases, then the other one increases.
    Writing an equation will consist in writing a formula which gives a relation between the two variables.

    Problem 1
    You buy apples for 79 cents/pound.
    So here, I assume you chose the variables : total price and pounds.
    The price increases when the number of pounds increases, so what type of variation will it be ?

    What is the relation between the price and the number of pounds ?


    Problem 2
    Indoor soccer league fees of $279 are split among the team members.
    The variables are : the fee each member receives and the number of members.
    If there are more members, will they receive more or less money ?


    Try to work it out
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  3. #3
    Moo
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    I kind of explained it to you for #2, but my PM box has too small capacity...

    For the first one :

    Imagine that you go to the grocer's. You want to buy 2 pounds of apples. Knowing that each pounds costs 40 cents, how much will you pay ?
    Do exactly the same reasoning with the variables. If you don't see immediately the thing, take examples, it's often better

    Good luck !
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  4. #4
    A riddle wrapped in an enigma
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    Problem 1:

    Let c= total cost
    Let p = pounds

    c=.79p

    Direct variation

    Problem 2:

    Let m=each member's share
    Let n = total members
    m=\frac{279}{n}

    Inverse variation
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