Acar travels from a to city b. for the first 30 minutes, the car travels at the constant speed of 45 mph. the car speed up and travels at 60 mph for the next 2 hours then it stop at a rest stop for 15 minutes. after the rest stop, the car travel another 1.5 hours at 50 mph to arrive at city b. let t be time in hour and s(t) represents the total distance traveled as a function of time. a) use piecewise function to write the rules of s(t) b) sketch the graph of s(t)

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.