Average Monthly Temperature, °F x (Month) 1 (January) 2 (February) 3 (March) 4 (April) 5 (May) 34.6 37.5 47.2 56.5 66.4 6 (June) 75.6 7 (July) 8 (August) 9 (September) 80.0 78.5 71.3 10 (October) 59.7 11 (November) 49.8 12 (December) 39.4 Source: U.S. National Oceanic and Atmospheric Administration

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ISBN:9781305652231
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Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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The data show the average monthly temperatures for Washington, D.C. (see attached).

Solve,  a. Use your graphing utility to draw a scatter plot of the data from x = 1 through x = 12.

b. Use the SINe REGression feature to find the  sinusoidal function of the form y = A sin(Bx + C) + D that best fits the data.

c. Use your graphing utility to draw the sinusoidal function of best fit on the scatter plot. 

Average Monthly
Temperature, °F
x (Month)
1 (January)
2 (February)
3 (March)
4 (April)
5 (May)
34.6
37.5
47.2
56.5
66.4
6 (June)
75.6
7 (July)
8 (August)
9 (September)
80.0
78.5
71.3
10 (October)
59.7
11 (November)
49.8
12 (December)
39.4
Source: U.S. National Oceanic and Atmospheric Administration
Transcribed Image Text:Average Monthly Temperature, °F x (Month) 1 (January) 2 (February) 3 (March) 4 (April) 5 (May) 34.6 37.5 47.2 56.5 66.4 6 (June) 75.6 7 (July) 8 (August) 9 (September) 80.0 78.5 71.3 10 (October) 59.7 11 (November) 49.8 12 (December) 39.4 Source: U.S. National Oceanic and Atmospheric Administration
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