Jordan is planning an 18th birthday party. The budget for the party is $600. Jordan found an ideal venue for the celebration. The venue will charge $15 per guest and $25 per hour for the party. Jordan thinks inviting 40 people for a 3-hour party will still be within the budget of $600.

Question

Question: Will Jordan stay within the budget with these plans?

(1 point)
Responses

Solving an equation representing this situation proves that 40 people for exactly a 3-hour party is possible within the $600 budget
Solving an equation representing this situation proves that 40 people for exactly a 3-hour party is possible within the $600 budget

Solving an equation representing this situation proves that 40 people for exactly a 3-hour party is NOT possible within the $600 budget
Solving an equation representing this situation proves that 40 people for exactly a 3-hour party is NOT possible within the $600 budget

Solving an equation representing this situation proves that 40 people or more for a 3-hour party is possible within the $600 budget
Solving an equation representing this situation proves that 40 people or more for a 3-hour party is possible within the $600 budget

Solving an equation representing this situation proves that 40 people for a 3-hour or more party is NOT possible within the $600 budget
Solving an equation representing this situation proves that 40 people for a 3-hour or more party is NOT possible within the $600 budget
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Answer 1

To determine whether Jordan can stay within the $600 budget with 40 guests for a 3-hour party, we can set up an equation based on the costs.

1. Cost per guest: $15
2. Number of guests: 40
3. Venue rental per hour: $25
4. Duration of the party: 3 hours

First, we can calculate the total cost for the guests:

• Total cost for guests = Cost per guest × Number of guests
• Total cost for guests = $15 × 40 = $600

Next, we'll calculate the total venue rental cost:

• Total venue rental cost = Venue rental per hour × Duration of the party
• Total venue rental cost = $25 × 3 = $75

Now, we can find the total cost of the party by adding the total cost for guests and the total venue rental cost:

• Total cost = Total cost for guests + Total venue rental cost
• Total cost = $600 + $75 = $675

Since the total cost of $675 exceeds the budget of $600, we can conclude that:

Solving an equation representing this situation proves that 40 people for exactly a 3-hour party is NOT possible within the $600 budget.