A heavy log is dragged across the ground by two horses pulling on ropes (see the figure below). The magnitudes of the tension forces in the direction of the ropes are 51 pounds and 72 pounds. If the angle between the ropes is 26°, find the magnitude of the resultant force. (Round your answer to the nearest whole number.)

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:

the answer is d

hope this