Write an equation to represent the function.

Damon joins a video game membership service. The lifetime membership fee is $50. The first video game is free, then any video game purchased after that is $25.

f (x) = 50 + 25 (x - 1)

Step-by-step explanation:

Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:

Lifetime membership fee = $ 50

First video game is free

Then any video game purchased after = $ 25.

Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:

f (x) = 50 + 25 (x - 1)

If x = 1, then f (1) = 50 + 0 = 50 If x = 2, then f (2) = 50 + 25 = 75 If x = 5, then f (5) = 50 + 100 = 150

50 + 25 (x-1) maybe