There are two boxes of lego pieces. one box has 200 pieces and the other box has 115 pieces. which of the following best describes how 4 people will divide the lego pieces as evenly as possible? three people will get 77 pieces one person will get 76 pieces three people will get 78 pieces one person will get 77 pieces three people will get 79 pieces one person will get 78 pieces three people will get 76 pieces one person will get 75 pieces

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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