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27 November, 20:28

The hours of daylight, y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y=3.06sin (0.017x-1.40) + 12.23. How many hours of daylight, to the nearest tenth, does this model predict for February 14, 2013?

(1) 9.4

(2) 10.4

(3) 12.1

(4) 12.2

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Answers (1)
  1. 27 November, 20:55
    0
    The month of January has 31 days, so from January 1st to February 14th, there are 31 + 14 or 45 days, namely x = 45.

    y = 3.06 * sin[ 0.017 (45) - 1.40 ] + 12.23.

    make sure your calculator is in Degree mode.
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Home » Mathematics » The hours of daylight, y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y=3.06sin (0.017x-1.40) + 12.23. How many hours of daylight, to the nearest tenth, does this model predict for February 14, 2013? (1) 9.4 (2) 10.
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