Question

Jimmy receives his first 333 video games free then pays \$50$50dollar sign, 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:

Answer 1

Not proportional.

Explanation:

If the cost of the video games is proportional to the number of games, doubling the number of games would double the cost. For example, if
`x` video games cost
`y` dollars,
`2\, x` video games should cost
`2\, y` dollars.

This relation does not hold in this question. For instance,
`5` video games would cost
`50 * (5 - 3) = 100` dollars. If cost is indeed proportional to the number of video games,
`10` video games would cost
`2 * 100 = 200` dollars. However, the actual cost of
`10\!` video games is
`50 * (10 - 3) = 350` dollars.

Therefore- by contradiction- the cost of video games is not proportional to the number of games.