Areal estate agent knows that he will receive a commission of $4,250 from the sale of a property when the deal is completed 37 days from now. needing cash today, though, he signs a discount note at a credit union, using his expected commission as the maturity value. the discount rate is 9.55%. find the effective rate (apr).

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: