
Concept explainers
a)
To write: a function to represent the sequence.
a)

Answer to Problem 30PPS
A function to represent the sequenceis
Explanation of Solution
Given:
An arithmetic sequence is given as:
281, 270, 259, 248, …
The sequence represents the total number of ounces the box weighs as each book is taken out.
Calculation:
Consider the given terms.
281, 270, 259, 248, …
Now, find the common difference of the sequence as shown:
The sequence is decreasing, so the common difference is positive:
Write the equation for the nth term of an arithmetic sequence using the first term 281 and common difference
So, the function to represent the sequence is
b)
To find: the weight of each year book.
b)

Answer to Problem 30PPS
The weight of each yearbook is 11 ounces.
Explanation of Solution
Given:
An arithmetic sequence is given as:
281, 270, 259, 248, …
The sequence represents the total number of ounces the box weighs as each book is taken out.
Calculation:
Consider the given terms.
281, 270, 259, 248, …
Now, find the common difference of the sequence as shown:
The sequence is decreasing, so the common difference is positive:
The weight decreases by 11 ounce every time a book is taken out, so the common difference represents the weight of each yearbook, or 11 ounces.
c)
To find: the number of yearbooks in a full box.
c)

Answer to Problem 30PPS
The number of yearbooks in a full boxis 25.
Explanation of Solution
Given:
An arithmetic sequence is given as:
281, 270, 259, 248, …
The sequence represents the total number of ounces the box weighs as each book is taken out.
Empty box weight 17 ounces and full box weighs 292 ounces.
Calculation:
Consider the given terms.
281, 270, 259, 248, …
Now, subtract the weight of the empty box from the weight of the full box.
Now, divide by the weight by 11 to get number yearbook
So, there are 25 books in a full box.
d)
To find: the domain and range of the function obtained in part (a).
d)

Answer to Problem 30PPS
The domain of the function is
The range of the function is
Explanation of Solution
Given:
An arithmetic sequence is given as:
281, 270, 259, 248, …
The sequence represents the total number of ounces the box weighs as each book is taken out.
Empty box weight 17 ounces and full box weighs 292 ounces.
Calculation:
Consider the given terms.
281, 270, 259, 248, …
Now, subtract the weight of the empty box from the weight of the full box.
Now, divide by the weight by 11 to get number yearbook
So, there are 25 books in a full box.
The domain of the function is the number books. So, the domain is
The range of the function is weighs of books.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Intro Stats, Books a la Carte Edition (5th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Elementary Statistics (13th Edition)
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