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Patients in a study about a new medication were asked to rate their symptoms on a scale from 1 to 10 each hour, over a period of 8 hours after taking the medication. On the given scale, 1 represents symptoms being the least bothersome, and 10 represents them being the most bothersome. It is found that over this time period, the function y=0.5x2−3.6x+8.9 best models the patient's rating y, x hours after taking the medication.
What is the predicted rating 2.5 hours after taking a dose? Round your answer to two decimal places.
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