please pay attention to the question and the graph as the last tutor who recieved this paper did not.

AP Calculus BC Unit 4 Project Amusement Parks! Write-up: Include a problem statement for all three problems. TYPE all work and answers. No conclusion needed *NON-CALCULATOR PORTION*** r(1) 1,400 1,200 1,000 800 People per Hour 600 400 200 Time (hours) Elitch's just opened a new ride called the Star Flyer. They need to check if the line length is reasonable for people to continue to want to ride the ride. There are 100 people in line when the ride begins operation. The ride can hold 900 people per hour. The graph above shows the rate, r(t), at which people enter the line throughout the day. Time t is measured in hours from the time the ride begins operation. a) How many people enter the line between t = 0 and t = 4? Show the computations that lead to your answer. b) Find r'(1). Using correct units, interpret r'(1). c) Is the number of people waiting in line increasing or decreasing between time t = 4 and t = 6? Justify your answer. d) At what time t is the line for the ride the longest? How many people are in line at that time (round to the nearest person)? Justify your answer (include checking endpoints)