What is the equation of direct variation given that y is 16 and x is 2?
16 =k2
as one increases, the other increases. As one decreases, the other decreases.
k = 8
y=8x
To find the equation of direct variation, we need to determine the constant of variation.
The equation of direct variation is given by y = kx, where k is the constant of variation.
To find k, we can use the given values for x and y.
We are given that y is 16 and x is 2.
Plugging these values into the equation, we have 16 = k(2).
Dividing both sides of the equation by 2, we get k = 8.
Therefore, the equation of direct variation is y = 8x.
To find the equation of direct variation given two points, we need to use the formula y = kx, where k is the constant of variation.
In this case, we are given that y = 16 and x = 2. Plugging these values into the equation, we get: 16 = k * 2.
To find the value of k, we need to isolate it by dividing both sides of the equation by 2: 16/2 = k * 2/2.
Simplifying, we have 8 = k.
Therefore, the equation of direct variation is y = 8x.