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.%0D%0A%0D%0AQuestion: Will Jordan stay within the budget with these plans?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ASolving an equation representing this situation proves that 40 people for exactly a 3-hour party is possible within the $600 budget%0D%0ASolving an equation representing this situation proves that 40 people for exactly a 3-hour party is possible within the $600 budget%0D%0A%0D%0ASolving an equation representing this situation proves that 40 people for exactly a 3-hour party is NOT possible within the $600 budget%0D%0ASolving an equation representing this situation proves that 40 people for exactly a 3-hour party is NOT possible within the $600 budget%0D%0A%0D%0ASolving an equation representing this situation proves that 40 people or more for a 3-hour party is possible within the $600 budget%0D%0ASolving an equation representing this situation proves that 40 people or more for a 3-hour party is possible within the $600 budget%0D%0A%0D%0ASolving an equation representing this situation proves that 40 people for a 3-hour or more party is NOT possible within the $600 budget

Answer 1

To determine if Jordan can stay within the budget of $600 for a party with 40 guests for 3 hours, we can calculate the total cost.

1. Cost per guest: Jordan plans to invite 40 guests, and the venue charges $15 per guest. \[ \text{Cost for guests} = 40 , \text{guests} \times 15 , \text{dollars/guest} = 600 , \text{dollars} \]

2. Cost per hour: The venue charges $25 per hour, and the party is planned for 3 hours. \[ \text{Cost for venue rental} = 3 , \text{hours} \times 25 , \text{dollars/hour} = 75 , \text{dollars} \]

3. Total cost: Now, we add the cost for guests and the venue rental. \[ \text{Total cost} = \text{Cost for guests} + \text{Cost for venue rental} = 600 , \text{dollars} + 75 , \text{dollars} = 675 , \text{dollars} \]

Now, comparing the total cost of $675 to the budget of $600:

• Since $675 exceeds the budget of $600, Jordan will NOT stay within the budget with these plans.

Thus, 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.