Concept explainers
(a)
To make: a table showing term number and number of toothpicks
(a)
Answer to Problem 33PPS
The following table is
Term number | Number of toothpicks |
1 | 4 |
2 | 6 |
3 | 8 |
Explanation of Solution
Given:
Calculation:
Looking at the picture showing the terms, count the number of toothpicks for any term and thus form the following table.
Term number | Number of toothpicks |
1 | 4 |
2 | 6 |
3 | 8 |
Conclusion:
Therefore, the table is drawn.
(b)
To write: a verbal rule to find the number of toothpicks for any term.
(b)
Answer to Problem 33PPS
The verbal rule is:
“The number of toothpicks is two more than twice the term number”.
Explanation of Solution
Given:
Calculation:
Now, look at the above table and find a relation between term number and number oftoothpicks as shown below:
For Term 1,
The number of toothpicks = 4= 2(1)+2
For Term 2,
The number of toothpicks = 6 = 2(2)+2
For Term 3,
| The number of toothpicks = 8 = 2(3)+ 2
Thus, a verbal rule to find the number of toothpicks for any term is:
“The number of toothpicks is two more than twice the term number.”
Conclusion:
Therefore, the verbal rule is
“The number of toothpicks is two more than twice the term number”.
Chapter 1 Solutions
Pre-Algebra, Student Edition
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