Suppose c and d vary inversely, 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 can be written as:

c*d = k, where k is the constant of variation.

We can find k using the given values: d=2 when c=17.

17*2 = k

k = 34

So the equation is:

c*d = 34

To find d when c=68, we can plug in c=68 and solve for d:

68*d = 34

d = 34/68

d = 1/2

Therefore, when c=68, d=1/2.