The regression equation y = 8.6sin(0.24x – 1.88) + 62.8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?

The sine function ranges from −1 to 1, so its maximum value is 1. The greatest temperature is therefore 8.6(1) + 62.8 = 71.4°F. Thus, the maximum temperature is 71.4°F.

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