To solve this problem, we can use the direct variation equation, which states that y = kx, where k represents the constant of variation.
To find the value of k, we can plug the given values into the equation: y = kx
14 = k(-4)
By solving this equation, we can find that k = -3.5.
Now that we have the value of k, we can substitute it into the equation with the new value of x: y = (-3.5)(-6)
Simplifying this, we get y = 21.
Therefore, the value of y when x = -6 is 21.
The correct answer is 21.
Multiple Choice
Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?
(1 point)
Responses
–21
–21
10
10
18
18
21
1 answer