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( 4. A school band went on a trip to a music festival. The band director was admitted for free, but is cost \( \$ 100 \) to rent a bus for the trip and \( \$ 4 \) for each student. The total cost of the trip was \( \$ 244 \). Which equation can be used to find, \( s \), the number of students that went on the trip? \( 100+4 s=244 \) \( 4(100)+s=244 \) \( s(100+4)=244 \) \( 244+100=4 s \)

Ask by Reese Simmons. in the United States
Jan 30,2025

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Answer

The correct equation is \( 100 + 4s = 244 \).

Solution

To determine the correct equation for finding the number of students \( s \) who went on the trip, let's break down the costs involved: 1. **Bus Rental:** The cost to rent the bus is a fixed amount of \$100. 2. **Per Student Cost:** Each student adds an additional cost of \$4. The **total cost** of the trip is the sum of the bus rental and the cost for all students: \[ \text{Total Cost} = \text{Bus Rental} + (\text{Cost per Student} \times \text{Number of Students}) \] Plugging in the known values: \[ 244 = 100 + 4s \] So, the equation that represents this situation is: \[ 100 + 4s = 244 \] **Therefore, the correct equation is:** \[ 100 + 4s = 244 \] **Answer:** \( 100 + 4s = 244 \)

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To find the equation representing the total cost of the trip, we start with the fixed cost of the bus rental, which is \$100. Each student adds an additional cost of \$4. Therefore, the equation designed to calculate the total cost is aimed at combining these elements to equal the overall expenditure of \$244. The correct equation is \( 100 + 4s = 244 \), where \( s \) represents the number of students. This equation effectively organizes costs, making it easy to understand how the fees accumulate for the trip. In real-world situations, managing budgets for school trips can be tricky. Using algebraic equations like this not only helps in budgeting scenarios but also aids students in grasping practical applications of math. It's essential to assess all costs and find ways to manage expenses within set limits – like seeking sponsorships or fundraising to lower the collective fees per student!

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