What is the solution to the following question? 1/3(p+9)= 3 + 2 (p-6) a. 36/5 b. 5/36 c. 2 d. 9

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

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: