Suppose y varies directly with x and y = 14 when x = –4. What is the value of y when x = –6?
To find the value of y when x = -6, we can use the direct variation equation:
y = kx
where k is the constant of proportionality.
We are given that y = 14 when x = -4. Plugging these values into the equation, we get:
14 = k(-4)
Solving for k, we divide both sides of the equation by -4:
k = -14 / -4 = 7/2
Now that we have the value of k, we can use it to find the value of y when x = -6:
y = (7/2) * -6
y = -21
Therefore, when x = -6, y = -21.