What is the shoe store price for a pair of shoes that cost $28 at the department store? explain your reasoning. regular department store price $20 $25 $30 $35 $40 $50 shoe super store price $16 $20 $24 $28 $32 $40 answer

$22.40

Step-by-step explanation:

You need to find the ratio of regular department store price to shoe super store price

20:16 is the same as 1.25:1

So, a pair of shoes that would cost $28 at the department store, divide 28/1.25 to find the price, $22.40

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: