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.
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a. Since c and d vary inversely, we can write the equation as:
c * d = k
where k is a constant.
Given that d = 2 when c = 17, we can plug these values into the equation:
17 * 2 = k
34 = k
Therefore, the equation that models the variation is:
c * d = 34
b. To find d when c = 68, we can use the equation c * d = 34:
68 * d = 34
d = 34 / 68
d = 0.5
Therefore, when c = 68, d = 0.5.