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Problem 23 Easy Difficulty

Temperature readings $ T $ (in $ ^{\circ} $ F) were recorded every two hours from midnight to 2:00 PM in Atlanta on June 4, 2013. The time $ t $ was measured in hours from midnight.

(a) Use the readings to sketch a rough graph of $ T $ as a function of $ t $.
(b) Use your graph to estimate the temperature at 9:00 AM

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Video Transcript

all right for this problem. We're going to plot the points which represent the time since midnight and the temperature so of 0 74 Notice I made a break in the graph because, um, it doesn't make sense to go all the way down to zero in this case, and there isn't really room for that. So of 0 74 with 2 70 to 69 we have 4 68 We have 6 66 We have 8 70 We have 10. 78. We have 12. 82 and we have 14. 86. So it kind of make a rough sketch here. And then we can use that to find approximately the temperature at 9 a.m. So 9 a.m. would be right there between eight. And 10. And that would be roughly Oh, maybe 74 75 degrees.