in a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional…

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.\nf(x)=0.42 + 0.20\\lceil x - 1\\rceil\njosiah 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?\n$1.62\n$1.64\n$1.84\n$2.04

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.\nf(x)=0.42 + 0.20\\lceil x - 1\\rceil\njosiah 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?\n$1.62\n$1.64\n$1.84\n$2.04

Answer

Explanation:

Step1: Calculate cost for first letter

For a 2.9 - ounce letter, use the formula $f(x)=0.42 + 0.20\lceil x - 1\rceil$. Here $x = 2.9$, so $x-1=1.9$. Then $\lceil1.9\rceil = 2$. The cost $f(2.9)=0.42+0.20\times2=0.42 + 0.40=0.82$.

Step2: Calculate cost for second letter

For a 4.1 - ounce letter, $x = 4.1$, so $x - 1=3.1$. Then $\lceil3.1\rceil=4$. The cost $f(4.1)=0.42+0.20\times4=0.42 + 0.80 = 1.22$.

Step3: Calculate total cost

Add the costs of the two letters: $0.82+1.22 = 2.04$.

Answer:

$2.04$