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Alice is organizing a community picnic. The budget for the event is $800. Alice found a perfect park for the picnic. The park charges $20 per person for entrance and $50 per hour for using the pavilion. Alice believes that inviting 30 people for a 4-hour picnic will fit within the $800 budget. Question: Will Alice stay within the budget with these plans? (1 point) Responses Solving an equation representing this situation proves that 30 people for exactly a 4-hour picnic is possible within the $800 budget Solving an equation representing this situation proves that 30 people for exactly a 4-hour picnic is possible within the $800 budget Solving an equation representing this situation proves that 30 people for exactly a 4-hour picnic is NOT possible within the $800 budget Solving an equation representing this situation proves that 30 people for exactly a 4-hour picnic is NOT possible within the $800 budget Solving an equation representing this situation proves that 30 people or more for a 4-hour picnic is possible within the $800 budget Solving an equation representing this situation proves that 30 people or more for a 4-hour picnic is possible within the $800 budget Solving an equation representing this situation proves that 30 people for a 4-hour or more picnic is possible within the $800 budget

1 answer

To determine if Alice can stay within the $800 budget for the picnic, we need to calculate the total cost based on her plan to invite 30 people for a 4-hour picnic.

  1. Entrance Fee for 30 People:
    The park charges $20 per person.
    Total entrance cost = 30 people × $20/person = $600.

  2. Pavilion Rental for 4 Hours:
    The park charges $50 per hour for the pavilion.
    Total pavilion cost = 4 hours × $50/hour = $200.

  3. Total Cost:
    Total cost = Entrance cost + Pavilion cost
    Total cost = $600 + $200 = $800.

Since the total cost of $800 exactly matches the budget, Alice can stay within the budget with her plan.

Thus, the correct response is:
Solving an equation representing this situation proves that 30 people for exactly a 4-hour picnic is possible within the $800 budget.