Students in an Algebra 1 class will perform the following experiment and then model it mathematically. They begin with 128 two-colored counters (a chip Part A Select the equation that best represents f(n), the number of yellow counters that land on yellow (and are put back into the bag) at the end of trial n, when n2 1? that has a yellow side and a red side) in a bag and complete the following steps: 1. Pour the counters from the bag onto the floor. 2 Count the number of counters that land on yellow: 3. Record the trial number and the number of counters that landed on yellow o (1) - 128()" () - 128 - . 4. Put the counters that landed on yellow back into the bag and leave the rest on the floor (off to the side). Steps 1 to 4 constitute one trial of the experiment. Repeat trials until no counters land on yellow. Part B Using the equation you selected in part A, determine how many trials the students would need to run until exactly one counter lands yellow side up (and is put into the bag)? Use mathematics to justify your response. BIUS x, x A- A- : : 9 2 1 I Font Size Word count: 0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Students in an Algebra 1 class will perform the following experiment and then model it mathematically. They begin with 128 two-colored counters (a chip Part A
that has a yellow side and a red side) in a bag and complete the following steps:
Select the equation that best represents f(n), the number of yellow counters that land on yellow (and are put back into the bag) at the end of trial n,
when n 2 1?
1. Pour the counters from the bag onto the floor.
1(1) = 128(;)"
(").
n
2. Count the number of counters that land on yellow.
O f(n
3. Record the trial number and the number of counters that landed on yellow.
4. Put the counters that landed on yellow back into the bag and leave the rest on the floor (off to the side).
O fn
1
= 128
2"
-
Steps 1 to 4 constitute one trial of the experiment. Repeat trials until no counters land on yellow.
Part B
Using the equation you selected in part A, determine how many trials the students would need to run until exactly one counter lands yellow side up (and
is put into the bag)? Use mathematics to justify your response.
B IU S X-
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Word count: 0
Transcribed Image Text:Students in an Algebra 1 class will perform the following experiment and then model it mathematically. They begin with 128 two-colored counters (a chip Part A that has a yellow side and a red side) in a bag and complete the following steps: Select the equation that best represents f(n), the number of yellow counters that land on yellow (and are put back into the bag) at the end of trial n, when n 2 1? 1. Pour the counters from the bag onto the floor. 1(1) = 128(;)" ("). n 2. Count the number of counters that land on yellow. O f(n 3. Record the trial number and the number of counters that landed on yellow. 4. Put the counters that landed on yellow back into the bag and leave the rest on the floor (off to the side). O fn 1 = 128 2" - Steps 1 to 4 constitute one trial of the experiment. Repeat trials until no counters land on yellow. Part B Using the equation you selected in part A, determine how many trials the students would need to run until exactly one counter lands yellow side up (and is put into the bag)? Use mathematics to justify your response. B IU S X- Font Size Word count: 0
Expert Solution
Step 1

The counter chip be never be half . 

So the function related to this activity also show that a chip never be half . 

 

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