K = 17
Explaination:
If y varies directly with x, we can express this relationship as y = kx, where k is the constant of variation.
To find the constant of variation k, we can use the given information:
y = 272 when x = 16.
Substituting these values into the equation y = kx, we have:
272 = k * 16.
To solve for k, we divide both sides of the equation by 16:
k = 272 / 16.
Evaluating this expression:
k = 17.
Therefore, the constant of variation k is 17
I hope this helps!