To determine whether y varies directly with x, we need to check if the ratios of y to x are constant.
Ratio of y to x for (3,7) = 7/3 ≈ 2.33
Ratio of y to x for (5,11) = 11/5 = 2.2
Ratio of y to x for (6,13) = 13/6 ≈ 2.17
Ratio of y to x for (8,19) = 19/8 ≈ 2.375
Since the ratios are not constant, we can conclude that y does not vary directly with x.
Therefore, there is no constant of variation (k) and we cannot write the relationship as y = kx.
Use the table below to determine whether y varies directly with ×. If it does, find the constant of variation k and write the relationship as y=kx.
Please show vour work
X
3
5
6
8
y
7
11
13
19
1 answer