Concept explainers
a)
To write: anequation to represent the nth term of the sequence.
a)
Answer to Problem 31PPS
Anequation to represent the nth term of the sequenceis
Explanation of Solution
Given:
O runs 3 miles every day in 1st week, then increases the distance by 0.5 miles each day in following weeks.
Calculation:
Write out the first few terms of the sequence. 3, 3.5, 4, 4.5, 5, 5.5, …
The common difference is 0.5
So, an equation to represent the nth term of the sequence is
b)
To find: the week in which O runs 10 miles per day.
b)
Answer to Problem 31PPS
During 15th week will she run 10 miles per day.
Explanation of Solution
Given:
O runs 3 miles every day in 1st week, then increases the distance by 0.5 miles each day in following weeks.
Calculation:
Consider the function.
Solve for
In the 15th week will she run 10 miles per day.
c)
To find: whether the pattern will continue indefinitely.
c)
Explanation of Solution
She cannot continue with the daily increase of 0.5 miles each week. Eventually the number of miles ran per day will become unrealistic.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
Precalculus
University Calculus: Early Transcendentals (4th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Thinking Mathematically (6th Edition)
Algebra and Trigonometry (6th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education