ordan 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

Answer 1

To determine whether Jordan's plan will stay within the budget, we can calculate the total cost based on the number of guests and the duration of the party.

1. Cost per guest: $15

2. Number of guests: 40

3. Cost for guests: \[ 40 \text{ guests} \times 15 \text{ dollars/guest} = 600 \text{ dollars} \]

4. Cost per hour: $25

5. Duration of the party: 3 hours

6. Cost for venue: \[ 3 \text{ hours} \times 25 \text{ dollars/hour} = 75 \text{ dollars} \]

7. Total cost: \[ \text{Cost for guests} + \text{Cost for venue} = 600 \text{ dollars} + 75 \text{ dollars} = 675 \text{ dollars} \]

Now, we compare the total cost to the budget:

• Total cost = $675
• Budget = $600

Since $675 is greater than $600, Jordan's plan exceeds the budget.

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