Question list Question 1 Question 2 If the cost to mail a letter is 49 cents for mail weighing up to one ounce and 27 cents for each additional ounce or fraction of an ounce, find the cost of mailing a letter that weighs 83 grams. The cost to mail the letter is $\$$ . (Type an integer or a decimal.)
Solution
Step 1 ：First, we need to convert the weight from grams to ounces since the cost is given in ounces. There are approximately 28.3495 grams in an ounce. So, the weight in ounces is \(\frac{83}{28.3495} \approx 2.93\) ounces.
Step 2 ：The cost for the first ounce is $0.49. Since the weight of the letter is more than one ounce, we need to calculate the cost for the additional weight. Each additional ounce or fraction of an ounce costs $0.27.
Step 3 ：The weight of the letter is approximately 2.93 ounces. Subtracting the first ounce, we have approximately 1.93 ounces left. Multiplying this by the cost per additional ounce, we get \(1.93 \times 0.27 \approx 0.52\) dollars.
Step 4 ：Adding the cost for the first ounce and the cost for the additional weight, we get the total cost to mail the letter. So, the total cost is \(0.49 + 0.52 = 1.01\) dollars.
