A farmer has 120 acres of land to plant corn and soybeans. E...

Question

A farmer has 120 acres of land to plant corn and soybeans. Each acre of corn requires 2 hours of labor, while each acre of soybeans requires 3 hours. The farmer has 300 hours of labor available. Let x be the number of acres of corn and y be the number of acres of soybeans. 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.

Key Concept Explanation
The key concept here is understanding how to represent real-world constraints using inequalities and then finding the feasible region in the coordinate plane.

Step-by-step Solution
1. Define the variables: = number of acres of corn, = number of acres of soybeans.
2. Write the system of inequalities based on the given constraints:
Total land:
Total labor:
Non-negativity: ,

Algebra-1

Question

Answer & Analysis

Analysis

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