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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 with 30 people for a 4-hour picnic, we need to calculate the total cost based on the entrance fee and the pavilion rental fee.

  1. Calculate the cost for 30 people:

    • Entrance fee per person: $20
    • Number of people: 30
    • Total entrance fee = 30 people × $20/person = $600

  2. Calculate the cost for using the pavilion for 4 hours:

    • Pavilion rental fee per hour: $50
    • Number of hours: 4
    • Total pavilion fee = 4 hours × $50/hour = $200

  3. Calculate the total cost of the picnic:

    • Total cost = Total entrance fee + Total pavilion fee
    • Total cost = $600 + $200 = $800

Since the total cost of the picnic is exactly $800, Alice will stay within her budget with her plan.

Therefore, 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.