Question

To mail an envelope first class. The us post office charges $0.34 for the first ounce and $0.25 for each additional once. Use an inequality to find the maximum number of whole ounces that. An be mailed for $5.46

Answer 1

Based on the given information, if x is the number of additional ounces, you can write the following inequality:

`0.34+0.25x\leq5.46`

to determine the number of additional ounces, solve the previous inequality for x, as follow:

`\begin{gathered} 0.25x\leq5.46-0.34 \\ 0.25x\leq5.12 \\ x\leq(5.12)/(0.25) \\ x\leq20.48 \end{gathered}`

then, you can conclude that the maximum number of additional ounces are 20 (by considering whole ouces only).

Hence, by taking into account the first ounce, you have that the maximum number of ounces is 21.