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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