Jim weighs 30 pounds less than tom, and together they weigh 210 pounds. let n = tom's weight in pounds. (n - 30) + n = 180 (n + 30) + n = 210 (n + 30) + n = 180 (n - 30) + n = 210

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:

in which figure is point g a centroid