Suppose y varies directly with x, and y=14 when c=-4. What is the value of y when x=-6
If y varies directly with x, this means that y can be expressed as y = kx, where k is the constant of variation. Given that y = 14 when x = -4, we can determine the value of k.
14 = k(-4)
14 = -4k
Dividing both sides by -4, we find:
k = -14/4
k = -7/2
Now that we have the value of k, we can find the value of y when x = -6.
y = (-7/2)(-6)
y = 21