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x y
7 11
8 13
9 15
10 17
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
To determine whether y varies directly with x, we need to check if the ratio between the corresponding values of x and y is constant.
Let's calculate the ratios for each pair of values:
Ratio (7, 11): 11/7 = 1.5714
Ratio (8, 13): 13/8 = 1.625
Ratio (9, 15): 15/9 = 1.6667
Ratio (10, 17): 17/10 = 1.7
Since these ratios are not the same, y does not vary directly with x.
Therefore, we cannot find a constant of variation k and write an equation for this scenario.