HI!! I am not sure if I got the right answer and would love someone help! Q: Jane is joining a Gym. At maria's Gym she has to pay a membership fee of $25 and a monthly fee of $50. At George"s Gym she has to pay $25 per month plus a membership fee of $100. Write An Equation and solve to determine at how many months the cost of the two gyms will be the same?" My equation was 25+50m=25m+100 and a answer of M=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:

19

step-by-step explanation: