Suppose c and d vary inversely, and and d=2 when c =17.

Question

Write an equation that models the variation.
Find d when c = 68.

Answer 1

The equation that models the variation of c and d would be: c * d = k, where k is the constant of variation.

Since we know that when c = 17, d = 2, we can substitute these values into the equation to solve for k:

17 * 2 = k
34 = k

Therefore, the equation becomes: c * d = 34.

Now, to find d when c = 68:

68 * d = 34
d = 34 / 68
d = 0.5

Therefore, when c = 68, d = 0.5.