Alice is organizing a community picnic. The budget for the event is $800. Alice found a perfect park for the picnic.

Question

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
Solving an equation representing this situation proves that 30 people for a 4-hour or more picnic is possible within the $800 budget
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Answer 1

To determine if Alice can stay within her budget of $800 for the picnic with 30 people for 4 hours, we need to calculate the costs involved:

1. Cost per person for entrance: $20

   • For 30 people: \( 30 \times 20 = 600 \)

2. Cost for using the pavilion: $50 per hour

   • For 4 hours: \( 4 \times 50 = 200 \)

Now, let's calculate the total cost:

\[ \text{Total cost} = \text{Cost for entrance} + \text{Cost for pavilion} = 600 + 200 = 800 \]

Alice's total cost for inviting 30 people for a 4-hour picnic is $800, which exactly meets her budget.

Thus, we conclude that:

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

Answer 2

Let me solve this step by step.

1. Let's identify the costs:
* Park entrance fee: $20 per person
* Pavilion rental: $50 per hour

2. Calculate total entrance fees for 30 people:
* 30 people × $20 = $600

3. Calculate pavilion rental for 4 hours:
* 4 hours × $50 = $200

4. Calculate total cost:
* Total = Entrance fees + Pavilion rental
* Total = $600 + $200 = $800

5. Compare with budget:
* Budget: $800
* Total cost: $800
* $800 = $800

Therefore, 30 people for exactly a 4-hour picnic will use the entire $800 budget exactly.

The correct answer is: "Solving an equation representing this situation proves that 30 people for exactly a 4-hour picnic is possible within the $800 budget"

This is correct because:
- The total cost equals the budget exactly
- It works for exactly 30 people (not more)
- It works for exactly 4 hours (not more)
- The costs add up to stay within (equal to) the $800 budget