In this lab the students will be analyzing whether it is beneficial to
raise or lower prices of pizzas at a restaurant. Using profit as our motivation,
the student will explore changes in functions, the average change of a function
over the interval, and this will lead them to realize the instantaneous rate of
change of profit as the limit of the average rates of change. That is, the goal
is to have the student define a derivative on their own, before being formally
introduced to the topic.