You are buying party favors that cost $2.47 each. You can spend no more than $30 on the party favors.
What domain and range are reasonable for this situation?
2 pts for each explanation = 4 pts
Domain: The domain in this situation refers to the possible values for the number of party favors that can be bought. Since the party favors cost $2.47 each, the number of party favors bought must be a positive integer. Additionally, since the total spent cannot exceed $30, the number of party favors cannot surpass the result of dividing $30 by $2.47, which gives approximately 12.13. Therefore, reasonable values for the domain would be any positive integer from 1 to 12.
Range: The range in this situation refers to the possible total costs of the party favors. Since each party favor costs $2.47, the total cost of the party favors can be found by multiplying the number of party favors by $2.47. The lower bound for the range would be when the number of party favors is 1, resulting in a total cost of $2.47. The upper bound for the range would be when the number of party favors is 12, resulting in a total cost of $29.64. Therefore, reasonable values for the range would be any cost between $2.47 and $29.64, inclusive.