Members of a video game platform, pay $2 per download plus a one-time $50 membership fee. Non-members pay $20 download. How many games would a member have to download to save money compared to downloading games. Explain.
---------------------------------------- Define x: ---------------------------------------- Let x be the number of games downloaded.
---------------------------------------- Members: ---------------------------------------- Membership = $50 Per download = $2 Total cost = 50 + 2x
---------------------------------------- Non-Members: ---------------------------------------- Per download = $20 Total Cost = $20x
------------------------------------------------------------------------------------------------ Calculate number of games needed for the membership to be worth it: ------------------------------------------------------------------------------------------------ 50 + 2x < 20x 50 < 18x // take away 2x from both sides 2.78 < x // divide by 18 on both sides x > 2.78 // rewrite with x on the left side
⇒ at least 3 games.
------------------------------------------------------------------------------------------------ Answer: the members must download more than 3 games to save money compared to non-member. ------------------------------------------------------------------------------------------------
