Question

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.

Answer 1

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Define x:
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Let x be the number of games downloaded.

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Members:
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Membership = $50
Per download = $2
Total cost = 50 + 2x

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Non-Members:
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Per download = $20
Total Cost = $20x

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Calculate number of games needed for the membership to be worth it:
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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.

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