Angie and Kenny play online video games. Angie buys 1 software package and 2 months of gameplay. Kenny buys 1 software package and 1 of gameplay. Each software package costs ​$45. If their total cost is ​$120​, what is the cost of one month of gameplay?

Answer is in the file below

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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:

hi,

i'm 75% sure the answer is 1,1 to both lines.

have a great day