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9 July, 03:11

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. Which of the following equation represents this situation?

A) f (x) = 6 + 2 (x - 1), where x > 0

B) f (x) = 6 + 2 (x + 1), where x > 0

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Answers (2)
  1. 9 July, 03:23
    0
    Let x be the weight of the package in pounds

    We know that if x = 1, the cost is $6

    Using this in the given two equations,

    6 = 6 + 2 ((1) - 1)

    6 = 6 which is true

    OR

    6 = 6 + 2 ((1) + 1)

    6 = 10 which is not true

    Therefore, the correct equation is the first one. Also, x must be greater than 0 because if we plug in 0 to our correct equation, option A, then the price is less than the minimum that needs to be paid (minimum price when shipping 1 lb)
  2. 9 July, 03:40
    0
    Hmm, lets experiment

    for 1 lb it should be $6

    A. f (1) = 6+2 (1-1) = 6+2 (0) = 6, yep

    B. f (1) = 6+2 (1+1) = 6+2 (2) = 6+4=10, nope

    A is answer
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