An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? A:1/12x3hrs
B:1/3 x 12hrs
C:1/3 x 1/12hrs
D:3x12hrs
P. s hrs = hours

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:

step-by-step explanation:

your mom