This is my third question about direct variation.
For this problem, tell whether each relationship is a direct variation. Explain.
x | -1 | 5 | 8 |
y | -1.5 | 7.5 | 12 |
lalalala
To determine if a relationship is a direct variation, we need to check if there is a constant ratio between the x-values and the corresponding y-values.
Let's calculate the ratios for the given values:
For the first pair (-1, -1.5):
Ratio = y / x = (-1.5) / (-1) = 1.5
For the second pair (5, 7.5):
Ratio = y / x = 7.5 / 5 = 1.5
For the third pair (8, 12):
Ratio = y / x = 12 / 8 = 1.5
Since the ratio is the same (1.5) for all the pairs, we can conclude that this relationship is a direct variation.
Explained:
To determine if a relationship is a direct variation, we calculate the ratio between the y-values and corresponding x-values. If this ratio is the same for all the pairs, then the relationship is a direct variation. In this case, the ratio is 1.5 for all the pairs, so we can conclude that this relationship is a direct variation.