3
QuizMultiple Choice

Direct and Inverse Variation

Question 3 • VT-VA-EOC-SOL-Algebra I: Functions and Statistics

In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task.

Answer
A
direct variation; d = ke
B
direct variation; de = k
C
inverse variation; d = ke
D
inverse variation; de = k

Explanation

The total work stays constant: 4 employees × 4 days = 16 employee-days, and 2 employees × 8 days = 16 employee-days. Thus, as the number of employees increases, the days needed decrease, so this is inverse variation. The constant relationship is de = k, making “inverse variation; de = k” the correct choice.

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