For this situation, the domain refers to the possible number of party favors that can be bought, and the range refers to the total cost of the party favors.
Domain: The number of party favors must be a positive whole number since it wouldn't make sense to buy a fraction or negative amount of party favors. Additionally, the number of party favors should be within a reasonable range considering it is a party and the budget is $30. Assuming the person buying the party favors wants to have a variety of items, it would be reasonable to consider a minimum of 5 party favors (likely more) and a maximum of 15 party favors (likely less than 20). Therefore, the domain is {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}.
Range: The range represents the cost of the party favors. The minimum possible total cost is when just 1 party favor is purchased, which would be $2.47. The maximum possible total cost is when the person buys 15 party favors, which would be $37.05, exceeding the maximum budget of $30. Therefore, the range is {2.47, 4.94, 7.41, 9.88, 12.35, 14.82, 17.29, 19.76, 22.23, 24.70, 27.17, 29.64}. However, the range values greater than $30 (such as 37.05) are not reasonable in this situation as the budget cannot be exceeded. Therefore, a more reasonable range would be {2.47, 4.94, 7.41, 9.88, 12.35, 14.82, 17.29, 19.76, 22.23, 24.70, 27.17, 29.64} (rounding the values down to the nearest cent).
You are buying party favors that cost $2.47 each. You can spend no more than $30 on party favors. What domain and range are reasonable for this situation?
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