Write a word problem whose solution involves taking a cube root. State the problem and solve it, showing and explaining all steps.

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Write a word problem whose solution involves taking a cube root. State the problem and solve it, showing and explaining all steps.

Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely with x. In the third function, the relationship between x and y should be neither inverse variation nor direct variation. Describe the graph of each function and give a real-world example for each.

How can you determine whether or not a graph, equation, or table of points is a conic section? Explain how to identify a conic section in each of these cases by giving examples.

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