1) a spice merchant divided 9/10 of a pound of ground cinnamon into 9 equal packages. he then sold the ground cinnamon to restaurants and bakeries. what was the weight, in pounds, of ground cinnamon in each package? a) 1/10 b) 81/10 c) 8 1/10 d)81 2) a cookie factory uses 1/4 of a barrel of oatmeal in each batch of cookies. the factory used 1/2 of a barrel of oatmeal yesterday. how many batches of cookies did the factory make? a) 1/8 b) 8 c) 2 d) 1/2

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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