Respuesta :
Answer:
[tex]P(x) = 30, 0\leq x \leq 1\\~~~~~~~=58, 1 < x \leq 2\\~~~~~~~=86,2<x \leq 3[/tex]
Step-by-step explanation:
We are given the following in the question:
Cost of sending a mail =
30 cents for 1 ounce or less.
28 cents for each additional ounce or fraction of an ounce.
Let x represent the weight of mail. Let P(x) represents the cost in cents.
Weight of mail between 0 and 1 ounces
[tex]P(x) =30\text{ cents}, 0\leq x \leq 1[/tex]
Weight of mail between 1 and 2 ounces
[tex]P(x) =(30 + 28)\text{ cents}\\P(x) =(58)\text{ cents}, 1 < x \leq 2[/tex]
Weight of mail between 2 and 3 ounces
[tex]P(x) =(58 + 28)\text{ cents}\\P(x) =(86)\text{ cents}, 2 < x \leq 3[/tex]
Thus, we can write the piecewise function for cost in the following manner:
[tex]P(x) = 30, 0\leq x \leq 1\\~~~~~~~=58, 1 < x \leq 2\\~~~~~~~=86,2<x \leq 3[/tex]
where x is in ounces and P(x) is the cost in cents.
