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29 January, 23:04

Determine whether the relation describe c as a function of w.

The cost to mail a letter, c, is related to how much it weighs, w, in the following way: Letters that cost $0.49 to mail weigh up to 1 ounce, letters that cost $0.70 to mail weigh between 1 and 2 ounces, and letters that cost $0.91 to mail weigh between 2 and 3 ounces.

Question 3 options:

a)

Not a function

b)

Function

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Answers (1)
  1. 29 January, 23:27
    0
    Function:

    c = f (w) = 0.49, 0 < w ≤ 1

    = 0.70, 1 < w ≤ 2

    = 0.91, 2 < w ≤ 3

    Step-by-step explanation:

    Yes, the relation described can be interpreted as a function.

    Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

    As described in the question, the relation can be expressed as a function.

    c can be expressed as a function of w in the following manner:

    c (cost of mail) = f (w), where w is the independent variable and c is the dependent variable

    c = f (w) = 0.49, 0 < w ≤ 1

    = 0.70, 1 < w ≤ 2

    = 0.91, 2 < w ≤ 3

    where, c is in dollars and w is in ounces.
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