Concept explainers
a.
To determine the function to represent the sequence.
a.
Answer to Problem 30PPS
Explanation of Solution
Given:
Sequence:
Formula used:
nth term of any arithmetic progression is given by the formula:
Calculation:
The common difference of the arithmetic progression is:
Applying above formula,
So, the nth term of the sequence is
Conclusion:
The required function of the sequence is
b.
To determine the weight of each year book.
b.
Answer to Problem 30PPS
Explanation of Solution
Given:
Sequence:
Calculation / Explanation:
The common difference of the arithmetic progression is:
So, the weight decreases by
Conclusion:
So, the common difference represents the weight of each year book, i.e.
c.
To determine the number of year books.
c.
Answer to Problem 30PPS
Explanation of Solution
Given:
The weight of the empty box:
The weight of the full box:
Calculation:
The weight of the books = The weight of the full box − The weight of the empty box
The number of year books = The total weight of the all books ÷ The weight of a single book
Conclusion:
So, there are total
d.
To determine the domain and range of the function
d.
Answer to Problem 30PPS
Explanation of Solution
Given:
Sequence:
Calculation:
The domain of the function is the numbers of year books.
The range of the function is the weight of the box contain the books.
So, the domain and range are respectively:
Conclusion:
Therefore, the domain and range are respectively:
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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