Question

For a recent year, the rate of first-class postage is as follows:

Answer 1

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:

$C(x)=\left\{\begin{matrix}0.44 & 0$

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.

Answer 2

The cost to mail a letter that is 3.48 ounces is $\boxed{\ 0.95}.$

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 $\ 0.44.$

The price to mail a weight not over 2 ounce is $\ 0.61.$

The price to mail a weight not over 3 ounce is $\ 0.78.$

The price to mail a weight not over 3.5 oounce is $\ 0.95.$

Explanation:

If the weight of the letter is less than or equal to one ounce then the cost is $\ 0.44.$

Then function can be expressed as follows,

$P\left( x \right) = \ 0.44\,\,\,\,\,\,\,0 < x \leqslant 1$

If the weight of the letter is greater than 1 ounce and less than or equal to 2 ounce then the cost is $\ 0.61.$

Then function can be expressed as follows,

$P\left( x \right) = \ 0.61{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 0 < x \leqslant 1$

If the weight of the letter is greater than 2 ounce and less than or equal to 3 ounce then the cost is $\ 0.78.$

Then function can be expressed as follows,

$P\left( x \right) = \ 0.78\,{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 0 < x \leqslant 1$

If the weight of the letter is greater than 3 ounce and less than or equal to 3.5 ounce then the cost is $\ 0.95.$

Then function can be expressed as follows,

$P\left( x \right) = \ 0.95\,\,\,\,\,\,3 < x \leqslant 3.5$

The piecewise defined function can be expressed as follows,

$P\left( x \right) = \left\{ \begin{aligned}0.44\,\,\,\,\,\,\,\,0 &< x \leqslant 1 \hfill\\0.61\,\,\,\,\,\,\,\,\,1 &< x \leqslant 2 \hfill\\0.78\,\,\,\,\,\,\,\,2 &< x \leqslant 3 \hfill\\0.95\,\,\,\,\,\,\,\,3 &< x \leqslant 3.5 \hfill\\\end{aligned}\right.$

The cost to mail a letter that is 3.48 ounces is $\boxed{\ 0.95}.$

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 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.