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: 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

Question

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: 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

GPT-4o mini · Answer

To determine if Jordan will stay within the budget of $600 for the party with 40 guests over 3 hours, we can calculate the total cost based on the given information.

Cost per guest: $15 per guest \[ \text{Cost for guests} = 40 \text{ guests} \times 15 = 600 \]
Cost per hour for the venue: $25 per hour \[ \text{Total cost for hours} = 3 \text{ hours} \times 25 = 75 \]
Total cost for the party: \[ \text{Total Cost} = \text{Cost for guests} + \text{Total cost for hours} = 600 + 75 = 675 \]

Now, we can compare the total cost of $675 with the budget of $600.

Since $675 exceeds the budget of $600, Jordan will NOT stay within the budget with plans to invite 40 people for a 3-hour party.

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.