i.
To state: The representation by n for each quilt and also what represents.
The number of blue squares is represented by
Given information:
The given pattern of checkerboards quilt is:
Explanation:
Consider the given image of the quilt.
Now observe the pattern. The first quilt is not divided and the second quilt has 2 rows and 2 columns.
The third quilt has 3 rows and 3 columns and the fourth quilt has 4 rows and 4 columns and so on.
It can be seen that n represents the number of rows and columns in which the quilt is divided.
Now observe the pattern again, the first quilt is blue
Therefore, it can be said that represents the number of blue squares.
ii.
To state: A table that shows n and for
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
1 | 2 | 5 | 8 | 13 | 18 | 25 | 32 |
Given information:
The given values are
Explanation:
From the pattern it can be said that:
For
For
For
If the number n is even then the number of blue squares:
If the number n is odd then the number f blue square:
Now make a table showing n and
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
1 | 2 | 5 |
iii.
To state: The values of for
The rule
Given information:
The given rule is
Explanation:
Consider the rule:
Now substitute the values of n as
It can be seen that the values of from rule
It can be concluded that the rule is for calculating the number of blue squares.
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- 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