Suppose y varies directly with x, and y = 14 when x = -4. What is the value of y when x = -6
How would i do this
21?
y = k x
14 = k (-4)
so
k = -14/4 = -7/2
y = -(7/2) x
y = -(7/2)(-6)
yeah, about that :)
To find the value of y when x = -6 in a direct variation problem, you can use the formula for direct variation: y = kx, where k is the constant of variation.
To find the value of k, you can plug in the given values into the equation and solve for k:
y = kx
14 = k(-4)
Solve for k:
14 = -4k
k = -14/4
k = -7/2
Now that you have the value of k, you can substitute it into the original equation to find the value of y when x = -6:
y = kx
y = (-7/2)(-6)
Simplify the equation:
y = 21
Therefore, when x = -6, y = 21.