According to the U.S. Postal Service, “First-Class Mail is used for personal and business correspondence. Any mailable item may be sent as First-Class Mail. It includes postcards, letters, large envelopes, and small packages. The maximum weight is 13 ounces.” The Postal Service gives its First-Class Mail rates as follows:
First ounce | $0.37 |
Each additional ounce | $0.23 |
By “each additional ounce,” the Postal Service means each additional ounce or fractional part of an Ounce, if the letter does not weigh a whole number of ounces.Thus a letter weighing 4.5 ounces costs the same amount as a letter weighing 5 ounces.
a. Explain why the Postal Service rule describes the postage rate as a function of weight
b. What is the cost to send a letter weighing 6.9 ounces? 7 ounces? 7.1 ounces?
c. If a letter costs $1.06, how much does it weigh?
d. Write a multipart rule for the First-Class Mail rate function R(w), giving the rate in dollars and cents as a function of the weight in ounces
e. What are the domain and the range of the function R?
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