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(a)
Write an equation for finding the number of contestants who are left after n rounds.
(a)
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Answer to Problem 72SR
Explanation of Solution
Given:
An audition is held for a TV game show. At the end of each round, one half of the prospective contestants are eliminated from the competition. On a particular day, 524 contestants begin the audition.
Write an equation for finding the number of contestants who are left after n rounds.
Concept Used:
Calculation:
Thus,
(b)
Using this method, will the number of contestants who are to be eliminated always be a whole number? Explain.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 72SR
No; at the beginning of the third round there will be 131 contestants and one − half of that is 65.5.
Explanation of Solution
Given:
An audition is held for a TV game show. At the end of each round, one half of the prospective contestants are eliminated from the competition. On a particular day, 524 contestants begin the audition.
Using this method, will the number of contestants who are to be eliminated always be a whole number? Explain.
Concept Used:
No; at the beginning of the third round there will be 131 contestants and one − half of that is 65.5.
Thus, No; at the beginning of the third round there will be 131 contestants and one − half of that is 65.5.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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