note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Suppose c and d vary inversely, and d = 2 when c = 17.a. Write an equation that models the variation.b. Find d when c = 68.(2 points)
a. Let c represent the constant of variation and d represent the other variable. Since c and d vary inversely, we have the equation: c * d = k, where k is a constant.
Given that d = 2 when c = 17, we can substitute these values into the equation:
17 * 2 = k
34 = k
So, the equation that models the variation is:
c * d = 34
b. To find d when c = 68, we can use the equation we found in part a:
68 * d = 34
Dividing both sides by 68:
d = 34 / 68
d = 0.5
Therefore, when c = 68, d = 0.5.