Question

The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an expression to represent the cost for mailing a letter that is w ounces. Then find the cost for mailing a letter that is four ounces. 0.17 + 0.42w; $1.85 0.42 + 0.17w; $1.10 0.17 + 0.42w; $2.36 0.42 + 0.17w; $2.36

Answer 1

The answer is $0.42 + $0.17w; $2.36

Answer 2

Answer:

The total cost of mailing a letter is expressed by: $0.42+(0.17w)$

The cost for mailing a four-ounce letter is: $1.10

Step-by-step explanation:

First, you have a fixed cost, independent of any other variable, which is $0.42$.

Then you have a cost that is dependent on the weight, expressed in ounces, which is $0.17$ per ounce. This means that if you had $2$ ounces, then your cost would be duplicated, becoming $0.34$, and so on and so forth. Let's define the weight as $w$.

The total cost of mailing a letter equals the base charge (or the fixed cost) plus the cost of the number of ounces that our letter weighs.

We can express this statement in mathematical terms:

$0.42+(0.17*w)=COST$

Now, we want to know how much it would cost us to mail a letter that weighs $4$ ounces. That means we know the value of the $w$ in our expression, so we can substitute it and solve the expression:

$0.42+(0.17*4)=COST$

$0.42+0.68=COST$

$1.1=COST$

It would cost us $1.10 to send a 4 ounce letter.