To solve this problem, we start by understanding the concept of inverse variation. Inverse variation means that as one variable increases, the other decreases, and they are related by a constant product.
The general form of the equation for inverse variation is:
c * d = k
where k is a constant. We can find the value of k using the values provided in the problem. We know that when c = 17, d = 2.
Substituting these values into the equation:
17 * 2 = k
So, k = 34.
Now we can write the equation that models the variation:
c * d = 34
Next, we want to find the value of d when c = 68. We can use the equation we established:
68 * d = 34
To find d, we rearrange the equation:
d = 34 / 68
Calculating this gives us:
d = 0.5
Therefore, when c = 68, d = 0.5.