Suppose y varies directly with x, and y=10 when x=-3

What direct variation equation relates x and y
What is the value of y when x=-1

1 answer

If y varies directly with x, we can write the equation as y = kx, where k is the constant of variation.

Given that y = 10 when x = -3, we can substitute these values in the equation to find the value of k:

10 = k(-3)

Dividing both sides by -3:
k = -10/3

Therefore, the direct variation equation relating x and y is y = (-10/3)x.

To find the value of y when x = -1, we can substitute x = -1 into the equation:

y = (-10/3)(-1)
y = 10/3

The value of y when x = -1 is 10/3 or approximately 3.333.