Final answer:
The domain for the number of video games that can be purchased with $160 is 'All real numbers greater than or equal to 0', as it represents all possible whole numbers of games that could be bought with that amount. Option a is the correct answer.
Step-by-step explanation:
The question asks about the domain for the number of video games one can purchase with $160. Given that one cannot purchase a negative number of video games, the domain cannot include negative numbers. Additionally, the domain must be a whole number since you cannot purchase a fraction of a video game.
Therefore, the domain for the number of video games you can purchase with $160 would be all real numbers greater than or equal to 0, assuming video games can be free and there's no maximum limit to the number of games that can be bought.
It should be noted that while the answer 'All real numbers greater than or equal to 0' seems most accurate, in a practical sense, video games have a positive cost, and there are constraints like available balance and the price of games to consider.
If each video game, for instance, had a hypothetical fixed price of $20, the domain would be the set of whole numbers from 0 to 8. However, the question does not specify any unit price per video game; thus, we go with all non-negative numbers, emphasizing the idea of a domain being all possible values that a function (or situation, in this case) may assume.