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Jimmy receives his first 3 video games free then pays $50 for each game after that. Is the amount of money he spends on video games proportional to the number of games he owns? Choose 1 answer: (A) Yes (B) No

\newlineJimmy receives his first 33 video games free then pays $50 \$ 50 for each game after that.\newlineIs the amount of money he spends on video games proportional to the number of games he owns?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No\newline

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Q. \newlineJimmy receives his first 33 video games free then pays $50 \$ 50 for each game after that.\newlineIs the amount of money he spends on video games proportional to the number of games he owns?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No\newline
  1. Understand Proportionality Definition: To determine if the amount of money Jimmy spends on video games is proportional to the number of games he owns, we need to understand the definition of proportionality. A relationship is proportional if it can be described by a constant ratio. In this case, we need to see if there is a constant cost per game.
  2. Initial Free Games Condition: Jimmy receives his first 33 video games for free. This means that for the first 33 games, the cost is $0\$0. This is an initial condition that does not change with the number of games.
  3. Constant Cost per Additional Game: After the first 33 games, Jimmy pays $50\$50 for each additional game. This means that starting from the 44th game, there is a constant cost of $50\$50 per game. This is a linear relationship, but it includes a starting point that is not at the origin (0,0)(0,0) because the first 33 games are free.
  4. Non-Proportional Relationship: To be proportional, the relationship between the total cost and the number of games should be direct and without any initial offset. However, because Jimmy gets the first 33 games for free, the cost does not start at 00 when he has 00 games. Therefore, the relationship is not proportional.

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