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.


the members must download more than 3 games to save money compared to non-member.