A school district started using a new criteria for selecting which students entered their "accelerated" math track, starting in 6th grade. The study found that under the new criteria about 75% of the students in the district were eligible for accelerated math in 6th grade, but that from one year to the next only about 2/3 of the students stayed in the accelerated track. a) Assuming that everyone who is eligible enrolls the first year, make a TABLE that shows the percent of the students in the district that would be expected to be enrolled in the accelerated track each year from 6th grade until 10th grade. Please show the work you used to fill in your table. b) Considering that from one year to the next about 2/3 of the students stay in the accelerated track, is there a grade level in which you'd expect about 1/10 as many students in the accelerated track as there were in 6th grade? Does the number of students in the accelerated track in 6th grade affect your answer? Please show your work.

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A school district started using a new criteria for selecting which students entered their "accelerated" math track, starting in 6th grade. The study found that under the new criteria about 75% of the students in the district were eligible for accelerated math in 6th grade, but that from one year to the next only about 2/3 of the students stayed in the accelerated track.

a) Assuming that everyone who is eligible enrolls the first year, make a TABLE that shows the percent of the students in the district that would be expected to be enrolled in the accelerated track each year from 6th grade until 10th grade. Please show the work you used to fill in your table.

b) Considering that from one year to the next about 2/3 of the students stay in the accelerated track, is there a grade level in which you'd expect about 1/10 as many students in the accelerated track as there were in 6th grade?

Does the number of students in the accelerated track in 6th grade affect your answer? Please show your work.

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