For her birthday, Amia's parents give her tickets to feed the penguins at the zoo. The zookeeper gives Amia a bucket of fish to divide evenly among 6 penguins. Amia feeds each penguin 3 fish. Which equation models the problem? * 3f = 6

f/6 = 3

f -3 = 6

f + 3 = 6

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: