Answer:
$0.95
Step-by-step explanation:
Given that weight of the function = x
Given that cost of the postage for mail having weight less than or equal to 1 oz = $0.44
then to find the equation can be written as
C(x)=0.44 where 0<x<=1
Similarly we can write equation for other parts
C(x)=0.61 where 1<x<=2
C(x)=0.78 where 2<x<=3
C(x)=0.95 where 3<x<=3.5
Now we can write them together as piecewise function as shown in below:
[tex]C(x)=\left\{\begin{matrix}0.44 & 0<x\le1\\ 0.61 & 1<x\le2\\ 0.78 & 2<x\le3\\ 0.95 & 3<x\le3.5\end{matrix}\right.[/tex]
to graph that we just draw horizontal lines for each as none equation contains x on the right side .
3.48 oz is less that 3.5 so we will use $0.95.
The cost to mail a letter that is 3.48 ounces is [tex]\boxed{\$ 0.95}.[/tex]
Further explanation:
The piecewise defined function is defined as a function that takes different values in different interval. It is defined on the sequence of intervals.
Given:
The price to mail a weight not over 1 ounce is [tex]\$0.44.[/tex]
The price to mail a weight not over 2 ounce is [tex]\$0.61.[/tex]
The price to mail a weight not over 3 ounce is [tex]\$0.78.[/tex]
The price to mail a weight not over 3.5 oounce is [tex]\$0.95.[/tex]
Explanation:
If the weight of the letter is less than or equal to one ounce then the cost is [tex]\$0.44.[/tex]
Then function can be expressed as follows,
[tex]P\left( x \right) = \$ 0.44\,\,\,\,\,\,\,0 < x \leqslant 1[/tex]
If the weight of the letter is greater than 1 ounce and less than or equal to 2 ounce then the cost is [tex]\$0.61.[/tex]
Then function can be expressed as follows,
[tex]P\left( x \right) = \$ 0.61{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 0 < x \leqslant 1[/tex]
If the weight of the letter is greater than 2 ounce and less than or equal to 3 ounce then the cost is [tex]\$0.78.[/tex]
Then function can be expressed as follows,
[tex]P\left( x \right) = \$ 0.78\,{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 0 < x \leqslant 1[/tex]
If the weight of the letter is greater than 3 ounce and less than or equal to 3.5 ounce then the cost is [tex]\$0.95.[/tex]
Then function can be expressed as follows,
[tex]P\left( x \right) = \$ 0.95\,\,\,\,\,\,3 < x \leqslant 3.5[/tex]
The piecewise defined function can be expressed as follows,
[tex]P\left( x \right) = \left\{ \begin{aligned}0.44\,\,\,\,\,\,\,\,0 &< x \leqslant 1 \hfill\\0.61\,\,\,\,\,\,\,\,\,1 &< x \leqslant 2 \hfill\\0.78\,\,\,\,\,\,\,\,2 &< x \leqslant 3 \hfill\\0.95\,\,\,\,\,\,\,\,3 &< x \leqslant 3.5 \hfill\\\end{aligned}\right.[/tex]
The cost to mail a letter that is 3.48 ounces is [tex]\boxed{\$ 0.95}.[/tex]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear Equation
Keywords: solving equation, recent year, the rate of first class postage, weight, piecewise-defined function, cost to mail a letter, price, model, ounce.
