The variable g represents the number of guests, and the variable c represents the cost in dollars. If there are 10 guests, how much will Anne's retirement party cost? $

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 y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3