Answer: THIRD OPTION.
Step-by-step explanation:
You need to analize the information provided in this exercise.
You know that the game store's daily revenue each is modeled by the following function:
[tex]R(x) = 50x[/tex]
Where the variable "x" represents the number of games sold each day.
And the store's daily costs is modeled by this function:
[tex]C(x) = 8x + 250[/tex]
Then, given that:
[tex]P(x) = R(x) - C(x)[/tex]
You must subtract the functions [tex]R(x)[/tex] and [tex]C(x)[/tex].
Therefore, you get that the profit function is:
[tex]P(x) = R(x) - C(x)\\\\P(x)= (50x )-(8x + 250)\\\\P(x)=50x-8x-250\\\\P(x)=42x-250[/tex]