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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. Since c and d vary inversely, we can write the equation as cd = k, where k is a constant. Given that d = 2 when c = 17, we can substitute these values into the equation to find k. 17 * 2 = k, so k = 34. Therefore, the equation that models the variation is cd = 34.
b. To find d when c = 68, we can substitute c = 68 and k = 34 into the equation. This gives us 68d = 34. Solving for d, we get d = 34/68 = 0.5. Therefore, when c = 68, d = 0.5.