Final answer:
The possible range of costs for a party at The Little Ceramic Shop, with a rate of $20 per person and up to 6 people, is {0, 20, 40, 60, 80, 100, 120}. This represents the total costs for 0 to 6 people attending the shop.
Step-by-step explanation:
The question you're asking is related to determining the total cost for a group of people to paint ceramics at The Little Ceramic Shop, where the cost per person is $20.
If the party can include up to 6 people, the possible number of people that can attend ranges from 0 to 6. This is a simple multiplication problem where you take the number of people and multiply by the cost per person to find the total cost. So, the possible costs range in increments of $20 from 0 (no attendees) up to $120 (for 6 attendees).
Therefore, the correct answer would be:
b) {0, 20, 40, 60, 80, 100, 120}
This represents all the possible total costs for the different sized parties that could attend The Little Ceramic Shop.