Question

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

Answer 1

Function:

c = f(w) = 0.49, 0 < w ≤ 1

= 0.70, 1 < w ≤ 2

= 0.91, 2 < w ≤ 3

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.