suppose c and d vary inversevly, and d = 2 when c = 17

Question

a. write an equation that models the variation.
b. find d when c = 68

Answer 1

a. Since c and d vary inversely, the equation that models the variation is:

c * d = k

where k is a constant.

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

17 * 2 = k
34 = k

So the equation that models the variation is:

c * d = 34

Now, when c = 68:

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

Therefore, when c = 68, d = 0.5.