Shearing the wool from sheep is hard tiring work. an experienced sheep shearer in australia can shear 200 sheep in one day . if a sheep shearer works 8 hours day , how many sheep can he shear in one hour ?

  25

Step-by-step explanation:

(200 sheep)/(8 hour) = (200/8) sheep/hour = 25 sheep/hour

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: