The table shows the number of days, y , needed to complete a project as a function of the number of full-time staff, x , working on the project. Which rational function best models the data in the table? People Working, x Days, y 36 2 18 4 8 9 6 12

Multiply the number of staff by the number of days for each pair: 36 × 2 = 72, 18 × 4 = 72, 8 × 9 = 72, and 6 × 12 = 72. Since the product x y stays constant at 72, the relationship is y = 72/x. Choice D, “y is equal to 72 over x,” matches the data.

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