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Chapter 2: Q. 59 (page 103)

In 2011 the U.S. Postal Service charged \(0.88postage for first-class mail retail flats (such as an 8.5''by 11''envelope) weighing up to 1ounce, plus \)0.17for each additional ounce up to 13ounces. First-class rates do not apply to flats weighing more than 13 ounces. Develop a model that related C, the first-class postage charged, for a flat weighing xounces. Graph the function.

Short Answer

Expert verified

The required model is C=0.71+0.17xforx>10.88forx<1.

On plotting the function, we get,

Step by step solution

01

Step 1. Given information.

Consider the given question,

Postal charge for first-class mail weighing upto 1ounces is $0.88.

Postal charge for first-class mail for additional ounces upto 13ounces is $0.17for each additional ounce. Then,

=0.17x-1

When x>1 postal charge for first-class mail flats for x ounces is 0.71+0.17x.

When x<1 the postal charge for first-class mail retail flats for xounces is $0.88.

Hence, we can say the Cmodels, for weighing xounces is given below,

C=0.71+0.17xforx>10.88forx<1

02

Step 2. Plot the graph.

On plotting the graph,

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Most popular questions from this chapter

Suppose that the graph of a function gis known. The graph of y=g(x)+2may be obtained by a _______ shift of the graph of g ________ a distance of 2 units.

The function f(x)=x2 is decreasing on the interval _____.

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

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F. Reciprocal function

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True or False

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