Question
Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?
(1 point)
–21
10
18
21
(1 point)
–21
10
18
21
Answers
GPT 3.5
To find the value of y when x = -6, we need to determine the constant of variation.
Since y varies directly with x, we can set up the equation y = kx, where k is the constant of variation.
To find k, we can use the given information that y = 14 when x = -4. Substituting these values into the equation, we get:
14 = k(-4)
k = -14/-4
k = 7/2
Now that we have determined the value of k, we can use it to find y when x = -6 by substituting these values into the equation:
y = (7/2)(-6)
y = -21
Therefore, the value of y when x = -6 is -21.
Since y varies directly with x, we can set up the equation y = kx, where k is the constant of variation.
To find k, we can use the given information that y = 14 when x = -4. Substituting these values into the equation, we get:
14 = k(-4)
k = -14/-4
k = 7/2
Now that we have determined the value of k, we can use it to find y when x = -6 by substituting these values into the equation:
y = (7/2)(-6)
y = -21
Therefore, the value of y when x = -6 is -21.