Atown clock has a minute hand that is 1.5 meters long and an hour hand that is 1.2 meters long. what is the approximate distance in meters between the ends of the hands at 9 o’clock? a. 2.3 b. 1.9 c. 0.9 d. 0.3

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: