When George started his current job, his employer told him that at the end of the first year, he would receive two vacation days. After each year worked, his number of vacation days would double up to five work weeks of paid vacation.
a. Let x represent the work year and y represent the number of paid vacation days. Write an equation that models the relationship between these two variables.
b. How many vacation days will he have earned after four years?
c. In what year will he have maxed out his vacation days?