Direct and Inverse Variation Quiz
Test your understanding of direct and inverse variation with this comprehensive quiz. Please answer all questions.
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1. Which of the following best describes direct variation?
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As one variable increases, the other increases proportionally.
As one variable increases, the other decreases.
There is no relationship between the variables.
Both variables remain constant.
2. If y varies directly as x, and y = 12 when x = 4, what is the value of y when x = 10?
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3. Which equation represents an inverse variation?
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y = kx
y = k/x
y = x + k
y = k - x
4. If y varies inversely as x, and y = 8 when x = 2, what is the value of y when x = 4?
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5. In the equation y = 5x, what type of variation is shown?
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Direct variation
Inverse variation
No variation
Quadratic variation
6. Write the formula for direct variation using k as the constant of proportionality.
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7. A car travels 120 miles in 2 hours at a constant speed. If the distance varies directly with time, how far will it travel in 5 hours?
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8. If y = 24 when x = 3 for an inverse variation, what is the constant of variation (k)?
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9. Identify whether the following table shows a direct or inverse variation.
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Direct variation
Inverse variation
10. Briefly explain the difference between direct and inverse variation.
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