Question
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: 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
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
Answers
GPT-4o mini
To determine whether Jordan's party plans will stay within the $600 budget, we can set up an equation based on the costs.
- The cost per guest is $15, and he plans to invite 40 guests.
- The venue charges $25 per hour for 3 hours.
We can calculate the total cost as follows:
1. Cost for guests:
\[
\text{Cost for guests} = 40 \text{ guests} \times 15 \text{ dollars/guest} = 600 \text{ dollars}
\]
2. Cost for the venue:
\[
\text{Cost for venue} = 25 \text{ dollars/hour} \times 3 \text{ hours} = 75 \text{ dollars}
\]
Now we add the two costs together to find the total cost:
\[
\text{Total cost} = \text{Cost for guests} + \text{Cost for venue} = 600 \text{ dollars} + 75 \text{ dollars} = 675 \text{ dollars}
\]
Since the total cost ($675) exceeds Jordan's budget of $600, we 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.
- The cost per guest is $15, and he plans to invite 40 guests.
- The venue charges $25 per hour for 3 hours.
We can calculate the total cost as follows:
1. Cost for guests:
\[
\text{Cost for guests} = 40 \text{ guests} \times 15 \text{ dollars/guest} = 600 \text{ dollars}
\]
2. Cost for the venue:
\[
\text{Cost for venue} = 25 \text{ dollars/hour} \times 3 \text{ hours} = 75 \text{ dollars}
\]
Now we add the two costs together to find the total cost:
\[
\text{Total cost} = \text{Cost for guests} + \text{Cost for venue} = 600 \text{ dollars} + 75 \text{ dollars} = 675 \text{ dollars}
\]
Since the total cost ($675) exceeds Jordan's budget of $600, we 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.