Kate wants to buy a new bicycle from a sporting goods store. the bicycle she wants normally sells for $250. the store has a sale where all bicycles cost 2 / 5 of the regular price. what is the sale price of the bicycle?

it is 100 dollars off of the sale price.

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: