Determine whether the variable y varies directly with x.
a) Yes, y does vary directly with x.
b) No, y does not vary directly with x.
For two variables to vary directly, they must have a constant ratio. This means that when x increases, y will also increase by a certain multiple every time. To determine if y varies directly with x, we need to see if there is a constant ratio between the two variables.
If the relationship between y and x can be represented by an equation in the form y = kx (where k is a constant), then y varies directly with x.
If the relationship between y and x cannot be represented by this form and instead follows a different pattern, then y does not vary directly with x.
Without specific information or an equation demonstrating the relationship between y and x, it is not possible to determine if y varies directly with x.