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 30<x≤40 30 less than x less-than-or-equal-to 40 20<x≤30 20 less than x less-than-or-equal-to 30 20<x≤40 20 less than x less-than-or-equal-to 40 30<x≤50

Answer 1

To determine how many people Rafael can invite if he wants to spend $250 for the party, we can analyze the pricing structure:

• For 1-10 people, the cost is $100.
• For 11-20 people, the cost is $150.
• For 21-30 people, the cost is $200.
• For 31-40 people, the cost is $250.
• For 41-50 people, the cost is $275.

Since Rafael wants to spend exactly $250, he can invite people in the range of 31 to 40 (inclusive).

Thus, the correct response is: 30 < x ≤ 40.