A school is planning a field trip and needs to rent buses an...

Question

A school is planning a field trip and needs to rent buses and vans. Each bus can carry 50 students, and each van can carry 10 students. The school has 250 students going on the trip and a budget of $1,000 for transportation. Each bus costs $200, and each van costs $50. The school must rent at least 2 buses. Let x be the number of buses and y be the number of vans. Write the system of inequalities that represents this situation. __________.

Question Analysis
This question tests the student's ability to convert a real-world scenario into a system of inequalities. The problem involves a capacity constraint, a budget constraint, a minimum quantity requirement, and non-negativity conditions.

Key Concept Explanation
The key concepts include understanding how to represent constraints as inequalities and ensuring that all given conditions are accurately translated into mathematical expressions.

Step-by-step Solution
1. Identify the variables: for the number of buses and for the number of vans.
2. Write the student capacity constraint: .
3. Write the budget constraint: .
4. Write the minimum number of buses constraint:

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Algebra-1

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