Iput the maximum of points
question 1:
a car rental agency rents cars for $26.20 per day plus $0.35 per mile driven. your travel budget is $200. write an inequality that represents the maximum number of miles you can drive during a 1-day rental. show your work.
question 2:
suppose that you are running a concession stand when a person gives you $18 and asks for six drinks and as many hot dogs as the remaining money will buy. if drinks are $1.00 and hot dogs are $1.75, what is the maximum number of hot dogs the person can buy? write an inequality that represents your solution. show your work.

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.