Question

Solve for k, the constant of variation, in an inverse variation problem where x= 5 and y=25. Give your solution in the form of k=c, without using any spaces.

Answer 1

To solve for the constant of variation, k, in an inverse variation problem, substitute the given values for x and y into the equation y = k/x and solve for k.

Step-by-step explanation:

To solve for the constant of variation, k, in an inverse variation problem, we can use the equation y = k/x. Given that x = 5 and y = 25, we can substitute these values into the equation to solve for k. So, 25 = k/5. To isolate k, we can multiply both sides of the equation by 5, which gives us 125 = k. Therefore, the constant of variation is k = 125.