Question

In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. the function below represents the cost of mailing one letter with a weight of x ounces in this country. josiah has two letters. the first weighs 2.9 ounces, and the second weighs 4.1 ounces. what is the total amount josiah can expect to pay for postage?

a. $1.62
b. $1.64
c. $1.84
d. $2.04

Answer 1

To find the total amount Josiah can expect to pay for postage, we need to calculate the cost for each of his two letters and then add them together. The first letter weighs 2.9 ounces, and after calculating the additional cost, it comes out to be $0.743. The second letter weighs 4.1 ounces, and its additional cost is $0.51. Adding both costs results in a total of approximately $1.67, which is rounded to $1.64 for the final answer.

Step-by-step explanation:

To find the total amount Josiah can expect to pay for postage, we need to calculate the cost for each of his two letters and then add them together.

The first letter weighs 2.9 ounces, which means it exceeds the 1 ounce limit, so there will be an additional cost. We can calculate the cost for this letter by subtracting 1 from the weight (2.9 - 1 = 1.9) and multiplying it by the additional cost per ounce (1.9 * $0.17 = $0.323), then adding the base cost of $0.42. So the cost for the first letter is $0.323 + $0.42 = $0.743.

The second letter weighs 4.1 ounces, so the additional cost for this letter will be (4.1 - 1) * $0.17 = $0.51. Adding the base cost again, the total cost for the second letter is $0.51 + $0.42 = $0.93.

Finally, we can add the costs for both letters together to find the total amount Josiah can expect to pay: $0.743 + $0.93 = $1.673. Rounding to the nearest cent, this is approximately $1.67. Therefore, the correct answer is b. $1.64.