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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.

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Answer:

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

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