a. Temperature vs. Time
b. In this experiment, the temperatures were recorded throughout a typical winter day in the nation's capital to see the increase and decrease of the temperatures at certain times of the day. The question prompted today is, what is the change in temperature over a period of 18 hours in early February here in Washington D.C.? The chart below holds the recordings.
c.
d.
e. I am observing what happens at the exact point y=24.
My 3 secant points include: (4, 24) (6, 24) (8, 24)
My 3 secant points include: (4, 24) (6, 24) (8, 24)
38-24/ 4-1 = 4.66
41-24/6-1= 3.4
35-24/8-1= 1.57
Each of these are the slopes for each secant line. The average rate of change or slope is decreasing as the day goes on and the temperature rises and falls. The mean of all these numbers is 14.
38-24=14, 41-24=17, 35-24=11
Each of these are the slopes for each secant line. The average rate of change or slope is decreasing as the day goes on and the temperature rises and falls. The mean of all these numbers is 14.
38-24=14, 41-24=17, 35-24=11
f.
g. (7, 30) (8, 35)
35-30/8-7= 5
h. This experiment analyzes the rise of temperature throughout the day, beginning just before the sunrise until midnight the next day. At 6am, the temperature is the lowest at 25 degrees and reaches a high at 4pm of 42 degrees. After 4pm, the temperature begins to decrease again to 31 degrees at midnight. The average rate of change between between the temperatures rising/ falling is 5 degrees.
Great work, used a lot of different variables. Interesting how the secent lines form into a triangle.
ReplyDeleteVery nice, I really enjoyed your post. I find very interesting how with your process you were able to notice different fluctuations in the weather.
ReplyDeleteVery nice job Paris. I really enjoyed your post and your explanation was very precise.
ReplyDeleteGreat job. I like how you explained the details . it is very intersting
ReplyDeleteparis b.,
ReplyDeletei enjoyed reading your post and i like that you picked local temps!
in your secant calculations, you did a great job, but you are missing the units. and at the end when you calculate the mean of the secant lines, there is an error in calculating the mean. the mean is 3.21 change in temp per hour. since in your intro, you say you want to look at the point (1, 24), your tangent line should have gone through the point (1, 24). i am not sure why you calculated a tangent for the point (7, 30). it really doesn't relate to the rest of your data at all. :/
your explanation of how the temps increase and decrease are good and your graph of the points in your table looks really good! let me know if you don't understand why your secant data doesn't correlate to your tangent line value.
professor little