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, we can write the equation as Y = kx, where k is the constant of variation.
To find the value of k, we can substitute the given values into the equation:
14 = k(-4)
Now we can solve for k:
14 = -4k
k = -14/4
k = -7/2
Now that we have the value of k, we can use it to find Y when X = -6:
Y = (-7/2)(-6)
Y = 21