suppose y varies directly with x and y=14 when x=4. what is the value of 7 when x=-6

Answer 1

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.