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 Athat 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(;)"(").n2. Count the number of counters that land on yellow.O f(n3. 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 fn1= 1282"-Steps 1 to 4 constitute one trial of the experiment. Repeat trials until no counters land on yellow.Part BUsing 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 (andis put into the bag)? Use mathematics to justify your response.B IU S X-FontSizeWord count: 0

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

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: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter3: Solving Equation And Problems

Section3.7: Costs, Income, And Value Problems

Problem 17P

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