Note: Your teacher will review your response to ensure you receive proper credit for your answer.
Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
x 5 10 15 20
y 2 1 StartFraction 2 over 3 EndFraction StartFraction 1 over 2 EndFraction
To determine if the relation in the table represents direct variation, inverse variation, or neither, we need to check if there is a constant ratio between x and y.
Let's calculate the ratios for each pair of values in the table:
- 10/5 = 2
- 1/2 = 0.5
- 2/3 ≈ 0.6667
Since the ratios are not constant, this relation does not represent direct or inverse variation.
Therefore, the relation in the table is neither direct variation nor inverse variation.
No equation can be written to represent this relation, as it does not follow either direct or inverse variation patterns.