"Multiple Choice Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?"
To solve this problem, we can set up a proportion using the direct variation equation.
Since y varies directly with x, we can write the equation as y = kx, where k is the constant of variation.
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, we get:
k = 14 / (-4)
k = -3.5
Now we have the value of k, we can use it to find the value of y when x = -6.
y = (-3.5)(-6)
y = 21
Therefore, the value of y when x = -6 is 21.