suppose y varies directly with x and y=14 when x=4. what is the value of 7 when x=-6
To find the value of y when x=-6, we can use the direct variation formula:
y = kx
First, we need to find the value of k. Since y varies directly with x, we can substitute the given values to solve for k.
When x = 4 and y = 14, we have:
14 = k * 4
Dividing both sides by 4, we get:
k = 14/4
k = 3.5
Now we can substitute the value of k into the equation to find the value of y when x = -6:
y = 3.5 * -6
y = -21
Therefore, when x = -6, y is equal to -21.