Question

Rafael is trying to book a graduation party. The party pavilion charges $100 for the first 10 people, $150 for more than 10 and up to 20 people, $200 for more than 20 and up to 30 people, $250 for more than 30 and up to 40 people, and $275 for more than 40 and up to 50 people. If Rafael wants to spend $250 for this party, how many people can he invite? (1 point) Responses 20<x≤30 20 less than x less-than-or-equal-to 30 30<x≤40 30 less than x less-than-or-equal-to 40 30<x≤50 30 less than x less-than-or-equal-to 50 20<x≤40

Answer 1

Rafael wants to spend $250 for his party. According to the pricing structure:

• $100 for the first 10 people
• $150 for more than 10 and up to 20 people
• $200 for more than 20 and up to 30 people
• $250 for more than 30 and up to 40 people
• $275 for more than 40 and up to 50 people

Since Rafael wants to spend $250, the only applicable pricing tier is the one for more than 30 up to 40 people.

Thus, if he spends $250, he can invite anywhere from 31 to 40 people.

So the correct response is: 30 < x ≤ 40.