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5 July, 19:37

To qualify for Gold status at Awesome Airlines, one must fly less than 2280022800 but at least 96009600 miles each year. If Greg takes a 600600-mile round-trip flight when visiting his parents, how many times does Greg need to visit his parents each year to attain Gold status? Express your answer in interval notation.

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  1. 5 July, 20:27
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    Answer: n; 160 = < n < 3796

    Explanation:

    Number of miles needed to claim Gold d has the range

    {d; 2280022800 > d > = 96009600}

    Greg goes 600600miles in a year

    dGreg = 600600mi

    Lower limit for a Gold status is 96009600

    Thus, we find the lower limit of number of trips

    n = d/dGreg

    (d here is the lower distance per year to be covered in order to attain Gold)

    n (lower) = 96009600/600600

    = 159.8561 ~ 160 trips

    n (higher) = 2280022800/600600

    = 3796.24 ~ 3796 trips

    In interval notation

    n; 160 = < n < 3796
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