suppose y varies directly with x and y=14 when x=4. what is the value of y when x=-6

Answer 1

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.