Answer:
Not proportional.
Step-by-step 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 [tex]x[/tex] video games cost [tex]y[/tex] dollars, [tex]2\, x[/tex] video games should cost [tex]2\, y[/tex] dollars.
This relation does not hold in this question. For instance, [tex]5[/tex] video games would cost [tex]50 \times (5 - 3) = 100[/tex] dollars. If cost is indeed proportional to the number of video games, [tex]10[/tex] video games would cost [tex]2 \times 100 = 200[/tex] dollars. However, the actual cost of [tex]10\![/tex] video games is [tex]50 \times (10 - 3) = 350[/tex] dollars.
Therefore- by contradiction- the cost of video games is not proportional to the number of games.
