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You will write a short (less than two pages double-spaced) paper. The paper may include diagrams,...

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Advance Math

You will write a short (less than two pages double-spaced)paper. The paper may include diagrams, graphs, or screenshots.

Your boss has given you the following data table. The tableshows the temperatures y (in degrees Farenheit) in a city over a24-hour period. Let x represent the time of day, where ? = 0corresponds to 6 a.m.

time, x Temperature y

0 34

2 50

4 60

6 64

8 63

10 59

12 53

14 46

16 40

18 36

20 34

22 37

24 45

These data can be modeled approximately by the polynomialfunction,

?=0.026?3 −1.03?2 +10.2?+34, 0≤?≤24

(a) Use a graphing utility (calculator or some on-line app) tocreate a scatter plot of the data. Then graph the polynomial in thesame viewing window.
(b) What is your informed opinion about how well the function fitsthe data?
(c) Use the graph to approximate the times when the temperature wasincreasing and decreasing. (d) Use the graph to approximate themaximum and minimum temperatures during this 24-hour period.

(e) Write a memo to your boss explaining your steps and youranswers in (a) through (d). Include any graphs necessary to explainyourself.

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