Astore is offering a 20% discount on all sales over $50. if you purchase a shirt and a pair of jeans for $62.50, what is the amount of the discount you would receive

20% = 0.20

62.50 x 0.20 = 12.50

 the discount would be $12.50

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: