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The postal rate for first-class mail is ...

The postal rate for first-class mail is 44 cents for the first ounce or portion thereof and 17 cents for each additional ounce or portion thereof up to 3.5 ounces. The cost of a 3.5-ounce letter is `95cancel c`. A formula for the cost in cents of first-class postage for a letter weighing N ounces `(N le 3.5)` is

A

`4+[N-1]*17`

B

`[N-44]*17`

C

`44+[N]*17`

D

none of the above

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To derive the formula for the cost in cents of first-class postage for a letter weighing \( N \) ounces (where \( N \leq 3.5 \)), we will break down the costs based on the given postal rates. ### Step-by-Step Solution: 1. **Identify the Cost for the First Ounce:** - The cost for the first ounce (or portion thereof) is given as 44 cents. 2. **Determine the Remaining Weight:** - If the letter weighs \( N \) ounces, after accounting for the first ounce, the remaining weight is \( N - 1 \) ounces. 3. **Calculate the Cost for Additional Ounces:** - For each additional ounce (or portion thereof) beyond the first ounce, the cost is 17 cents. - Therefore, for \( N - 1 \) ounces, the cost will be \( 17 \times (N - 1) \). 4. **Combine the Costs:** - The total cost \( C(N) \) for the letter weighing \( N \) ounces can be expressed as: \[ C(N) = \text{Cost for first ounce} + \text{Cost for additional ounces} \] - Substituting the values: \[ C(N) = 44 + 17 \times (N - 1) \] 5. **Simplify the Formula:** - Distributing the 17: \[ C(N) = 44 + 17N - 17 \] - Combining like terms: \[ C(N) = 17N + 27 \] 6. **Final Formula:** - Hence, the formula for the cost in cents of first-class postage for a letter weighing \( N \) ounces (where \( N \leq 3.5 \)) is: \[ C(N) = 17N + 27 \]
To derive the formula for the cost in cents of first-class postage for a letter weighing \( N \) ounces (where \( N \leq 3.5 \)), we will break down the costs based on the given postal rates. ### Step-by-Step Solution: 1. **Identify the Cost for the First Ounce:** - The cost for the first ounce (or portion thereof) is given as 44 cents. 2. **Determine the Remaining Weight:** ...
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