Use the image to answer the question.

Question

A graph between number of guests and prices. The x-axis represents guests and ranges from 0 to 50 in increments of 10. The y-axis represents price and ranges from 0 to 300 in increments of 25.

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≤50
30 less than x less-than-or-equal-to 50

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

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

30<x≤40

GPT-4o mini · Answer

To determine how many people Rafael can invite for a graduation party while spending $250, we need to look at the pricing structure provided:

$100 for the first 10 people (up to 10).
$150 for more than 10 and up to 20 people (11 to 20).
$200 for more than 20 and up to 30 people (21 to 30).
$250 for more than 30 and up to 40 people (31 to 40).
$275 for more than 40 and up to 50 people (41 to 50).

Since Rafael wants to spend $250, he can invite more than 30 people but up to 40 people.

Thus, the correct response is:

30 < x ≤ 40 (30 less than x less-than-or-equal-to 40)