To determine if y varies directly with x, we need to check if the ratio of y to x is constant across all values.
Using the values from the table, we find:
For x = 3, y = 7. Therefore, the ratio of y to x is 7/3 = 2.33.
For x = 5, y = 11. The ratio of y to x is 11/5 = 2.2.
For x = 6, y = 13. The ratio of y to x is 13/6 ≈ 2.17.
For x = 8, y = 19. The ratio of y to x is 19/8 ≈ 2.38.
Since the ratio of y to x is not constant across all values, y does not vary directly with x.
Therefore, we cannot find a constant of variation (k) or write the relationship as y = kx.
use the table below to determine whether y varies directly with x. if it does, find the constant of variation k and write the relationship as y=kx.
x 3 5 6 8
y 7 11 13 19
1 answer
1 answer