Final answer:
After calculating the actual number of guests as 234 (56% more than 150), we found that 84 additional guests attended the grand opening. Multiplying the additional guests by the cost per person resulted in a budget increase of $357. This amount does not match any of the answer choices provided, suggesting a possible error.
Step-by-step explanation:
The owner budgeted for 150 people at a cost of $4.25 per person. If 56% more guests attended, we first need to calculate the actual number of guests. We do this by multiplying the expected number of guests by 1.56 (100% + 56%):
150 × 1.56 = 234 guests.
Now, we subtract the original number of guests estimated from the actual number of guests to find the increase in the number of guests:
234 - 150 = 84 additional guests.
Finally, to find out how much the amount budgeted will increase, we multiply the number of additional guests by the cost per person:
84 × $4.25 = $357.
Therefore, the budget would increase by $357, which is not one of the choices given. Hence, there may be an error in the choices provided or in the question itself as none of the options match the calculated increase.