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11 November, 04:43

4: In 2013, the United States Postal Service charged $0.46 to mail a letter weighing up to 1 oz. and $0.20 per ounce for each additional ounce. Which function would determine the cost, in dollars, c (z), of mailing a letter weighing z ounces where z is an integer greater than 1

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Answers (2)
  1. 11 November, 05:22
    0
    The function that would determine the cost in dollars, c (z), of mailing a letter weighing z ounces is (0.46 + 0.20z)

    Explanation:

    Weight of the letter = z ounces (z is an integer greater than 1)

    cost to mail a letter weighing 1 ounce = $0.46

    cost to mail an additional ounce = $0.20

    cost to mail z additional ounces = z * $0.20 = $0.20z

    Total cost of mailing a letter weighing z ounces = $0.46 + $0.20z

    Therefore, cost function, c (z) = 0.46 + 0.2z
  2. 11 November, 07:37
    0
    c (z) = 0.46 + 0.20 (z - 1)

    Explanation:

    For letters weighing up to 1 oz $0.46 is charged

    For each additional ounce $0.20 is charged

    so base cost is $0.46 which should remain constant and should not change.

    variable cost is $0.20 which can change according to weight so it should be linked with variable z.

    So the required function would be

    c (z) = 0.46 + 0.20 (z - 1)

    Verification:

    Lets verify the above function.

    When weight of the letter is 1 oz.

    c (1) = 0.46 + 0.20 (1 - 1) = 0.46 + 0.20 (0) = $0.46

    When weight of the letter is 2 oz.

    c (2) = 0.46 + 0.20 (2 - 1) = 0.46 + 0.20 (1) = $0.66

    Hence the function is working correctly.
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