High demand cars that are also in low supply tend to retain their value better than other cars. the data in the table is for a car that won a resale value award.
(table)
year-1,3,5
value (%) -84, 64,44
(questions)
a. write a function in slope-intercept form to represent the change in the percentage of the car’s value over time. assume that the function is linear for the first 5 years.
b. according to your function from part a, by what percent did the car’s value drop the day it was purchased and drive off the lot?
c. do you think the linear model still be useful after 10 years. explain why or why not.

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.