Rafael is trying to book a graduation party. The party pavilion charges $100 for the first 10 people, $150 for 10 more than 10 and up to 20 people, $200 for more than 20 people 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 Refael wants to spend $250 for this party, how many people can he invite?
A. 30 < x <_ 50
B. 20 < x <_ 40
C. 20 < x <_ 30
D. 30 < x <_ 40
To determine the number of people that Rafael can invite for his graduation party, we need to find the range of values for x that satisfy the given budget of $250.
From the information provided:
- For the first 10 people, the cost is $100.
- For the next 10 people (11th to 20th person), the cost is $150.
- For the next 10 people (21st to 30th person), the cost is $200.
To spend exactly $250, Rafael can invite 10 people for $100, 10 people for $150, and 10 people for $200.
Therefore, the number of people Rafael can invite is 10 + 10 + 10 = 30.
So, the correct answer is:
C. 20 < x ≤ 30