Multiple Choice
Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?
1 answer
Since y varies directly with x, we have the equation y = kx, where k is the constant of variation. To find the value of k, we can use the given information: y = 14 when x = -4. Substituting these values into the equation, we get 14 = k(-4). This simplifies to -56 = -4k, which further simplifies to k = 14. Now we can use this value of k to find the value of y when x = -6. Substituting x = -6 into the equation y = kx, we get y = 14(-6). This simplifies to y = -84. Therefore, the value of y when x = -6 is -84.
1 answer