A grocery clerk made this graph to relate the number of pounds of peaches and plums to the cost. Which statement is true based on the graph?
A. The quantities form a proportional relationship for both peaches and plums.
B. The quantities form a proportional relationship for plums but not for peaches.
C. The quantities form a proportional relationship for peaches but not for plums.
D. The quantities do not form a proportional relationship for either peaches or plums.

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.