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
20<x≤30
20 less than x less-than-or-equal-to 30
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
30<x≤40
30 less than x less-than-or-equal-to 40
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1 answer
To find out how many guests Rafael can invite if he wants to spend $250, we can analyze the pricing structure:
Since Rafael wants to spend $250, he can invite between 31 and 40 guests.
Thus, the correct range is:
30 < x ≤ 40 (30 less than x less-than-or-equal-to 40)
