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

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

GPT-4o mini · Answer

Rafael wants to spend $250 for the 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 is willing to spend $250, he falls into the category of "more than 30 and up to 40 people." Therefore, the number of people he can invite is:

30 < x ≤ 40.

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