If y is directly proportional to x, and y = 16 when x = 12, find the constant of proportionality, k. Give the answer in the form of fraction if necessary.
To find the constant of proportionality, k, we can use the given information that y is directly proportional to x. This means that y = kx, where k is the constant of proportionality.
We know that y = 16 when x = 12. Plugging these values into the equation, we get:
16 = k * 12
To find k, we divide both sides of the equation by 12:
16/12 = k * 12/12
Simplifying this equation:
4/3 = k
The constant of proportionality, k, is equal to 4/3.
let y = kx, k is the constant
plug in y=16 and x=12 , then solve for k