Concept explainers
The pattern is to be identified to complete the table.
Answer to Problem 2P
The complete table is,
x (number of figures) | y (number of new branches) |
1 | 3 |
2 | 9 |
3 | 27 |
4 | 81 |
5 | 243 |
Explanation of Solution
The table shows the number of new branches in each figure of the pattern below.
  
For the next figure
x (number offigures) | y (number of new branches) |
1 | 3 |
2 | 9 |
3 | 27 |
4 | 81 |
5 | 243 |
The relationship of number of figures and number of new branches is expressed in words as follows:
Words: For the each new figure, the number of new branches becomes three times the older
one.
Equation: From the pattern, the relationship between number of new branches and number oif figures is written in the form of equation as follows:
  
From the table the ordered pairs are:
  
The ordered pairs are plotted on the graph as follows:
  
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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