Determine whether y varies directly with x. if so find the constant of variation k and write the equation.
x y
7 11
8 13
9 15
10 17

There seems to be a direct relationship, as an increase an x results in an increase in y, but we can check if:
y = kx

11 = 7k, k = 1.57
13 = 8k; k = 1.62
15 = 9k; k = 1.67
17 = 10k; k = 1.70

As we can see, the variation is not constant so this is not a simple direct relation.

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