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?

Question

(1 point)
Responses

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

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

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

30<x≤50

Answer 1

To determine how many people Rafael can invite while spending $250 for the party, we analyze 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, we see that the price of $250 applies to the range of more than 30 and up to 40 people.

Thus, the appropriate option from your choices is:

30 < x ≤ 40.