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
To find the value of y when x = -6 in a direct variation, we can use the formula y = kx, where k is the constant of variation.
First, we need to find the value of k. We are given that y = 14 when x = -4, so we can substitute these values into the formula:
14 = k(-4)
Dividing both sides of the equation by -4:
k = -14/-4
k = 7/2
Now that we have the value of k, we can substitute x = -6 into the formula to find y:
y = (7/2)(-6)
y = -21
Therefore, the value of y when x = -6 is -21.
So, the correct answer is -21.