Unit 4 Geometry

3-3 Worksheet
Slopes of lines

Before it was demolished, the RCA Dome was home to the Indianapolis Colts. The attendance in
2001 was 450,746, and the attendance in 2005 was 457,373.

a. What is the approximate rate of change in attendance for 2001 to 2005

what was the change in attendance?

what was the chango in years?

b. If this rate of change continues, predict the attendance in 2012.

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.