Does the relation from the points provided represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
(5, 2), (10, 1), (15, 2/3), (20, 1/2)
The given points do not represent direct variation or inverse variation because the ratio of y to x does not remain constant in either case.
To further confirm, let's check the ratio of y to x for each pair of points:
1. (10, 1): 1/10 = 0.1
2. (15, 2/3): 2/3 / 15 ≈ 0.0444
3. (20, 1/2): 1/2 / 20 = 0.025
Since the ratios are not constant, the relation is neither direct variation nor inverse variation.
Therefore, we cannot write an equation to represent this relation.