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.

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

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

20<x≤30
20
<
x
≤
30
20 less than x less-than-or-equal-to 30
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GPT-4o mini · Answer

To determine how many guests Rafael can invite while spending $250, we will look at the price chart according to the number of guests:

For 0 to 10 guests: $100
For 11 to 20 guests: $150
For 21 to 30 guests: $200
For 31 to 40 guests: $250
For 41 to 50 guests: $275

Since Rafael wants to spend $250, we see that this price corresponds to inviting between 31 and 40 guests (since $250 is the price for more than 30 and up to 40 guests).

Therefore, the correct answer is:

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