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As you lay in the grass one evening (11PM) with your significant other for a quiet moment of star gazing, your eye catches the flash

As you lay in the grass one evening (11PM) with your significant other for a quiet moment of star gazing, your eye catches the flash of a cellphone screen. As you look, you find a weather app open on your cellphone indicating the current temperature and relative humidity are respectively 24 degrees C and 57%. You contemplate the idea of staying out all night to catch the morning dew. Being the math wizard that you are, you decide to figure out at what time the dew will settle. Your working hypothesis are that the current atmospheric variables will stay constant, except air temperature which began dropping at sundown (9PM today) when the recorded air temperature was 28 degrees C. You decide to establish a linear relation for air temperature as a function of time. What time will the dew settle ?

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