Acar dealer does inventory of the vehicles available on his lot. there are 22 cars and 17 trucks on the lot. 10 of the cars are red and the remaining cars are equally divided between white and blue. 4 of the trucks are red, 6 are white and the rest are blue. which two-way table represents the vehicles on the lot?

a. the first table
b. the second table
c. the third table
d. the fourth table

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: