Case Study

Evaluating an Economic Model

A student is modeling their weekly trade-off between working at a part-time job and enjoying leisure time. They have 40 hours available each week for these two activities and earn a constant wage of $15 per hour.

They create a graph where the vertical axis represents 'Total Weekly Income' and the horizontal axis represents 'Hours of Leisure Time'. The resulting graph is a single, straight, downward-sloping line.

A classmate claims the model is flawed, arguing that a graph showing income should always have an upward slope because working more hours leads to more income.

Evaluate the student's original graph. Is it a valid way to represent the trade-off described? Justify your conclusion by explaining what the slope of the line represents in this specific context.

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Updated 2025-08-25

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