Play It Up game store's daily revenue each can be modeled by R(x) = 50x where x represents the number of games sold each day. The store's daily costs can be modeled by the function C(x) = 8x + 250.

Find the profit function P(x) if: P(x) = R(x) - C(x)



Group of answer choices

P(x) = 58x + 250

P(x) = 42x + 250

P(x) = 42x - 250

P(x) = 58x - 250

Respuesta :

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]