suppose y varies directly with x and y=14 when x=4. what is the value of y when x=-6
If y varies directly with x, it means that as x increases (or decreases), y also increases (or decreases) in proportion to x.
Let's assume the direct variation equation as y = kx, where k is the constant of proportionality.
Given that y = 14 when x = 4, we can substitute these values into the equation to find the value of k:
14 = k * 4
Dividing both sides by 4:
k = 14/4
k = 7/2
So, our direct variation equation becomes y = (7/2)x.
To find the value of y when x = -6, we substitute x = -6 into the equation:
y = (7/2)(-6)
y = -21
Therefore, when x = -6, y has a value of -21.