To state: A rule for the number of actors in the nth round of auditions and for what values of n does your rule make sense if there are 3072 actors at the first round of auditions. In each successive round of auditions, one fourth of the actors from the previous round remain.
The resultant rule is
Given information:
There are 3072 actors at the first round of auditions. In each successive round of auditions, one fourth of the actors from the previous round remain.
Explanation:
Consider the given information:
To find the rule substitute the values
Therefore, the number of actors in the nth round of auditions
The rule is valid only when the value of is a positive integer because it represents the number of actors. The solution make sense for
Now let’s find n such that this inequality is the first time unsatisfied.
The first less than 1 is
Thus the solution make sense for
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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