There are 700 people in line for a popular amusement-park ride when the ride begins operation in the morning. Once it begins operation, the ride accepts passengers until the park closes 8 hours later. While there is a line, people move onto the ride at a rate of 800 people per hour. The graph above shows the rate, r(t), at which people arrive at the ride throughout the day. Time t is measured in hours from the time the ride begins operation. r() 1.400 1,200 1,000- 800 600 400 (a) How many people arrive at the ride between t = 0 and t = 3? Show the computations that lead to your answer. (b) Is the number of people waiting in line to get on the ride increasing or decreasing between t = 2 and t = 3? Justify 200 0+ Time (hours) your answer. (c) At what timet is the line for the ride the longest? How many people are in line at that time? Justify your answers. noH Jad ajdoo

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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This is for my AP review so how would solve and answer these in an AP format?

r(1)
There are 700 people in line for a popular amusement-park ride
when the ride begins operation in the morning. Once it begins
operation, the ride accepts passengers until the park closes 8 hours
later. While there is a line, people move onto the ride at a rate of
800 people per hour. The graph above shows the rate, r(t), at
which people arrive at the ride throughout the day. Time t is
measured in hours from the time the ride begins operation.
1.400
1,200
1,000
800
600
400
(a) How many people arrive at the ride between t = 0 and t = 3?
Show the computations that lead to your answer.
(b) Is the number of people waiting in line to get on the ride
increasing or decreasing between t = 2 and t = 3? Justify
200
0-
6.
Time (hours)
your answer.
(c) At what time t is the line for the ride the longest? How many people are in line at that time? Justify your
answers.
(d) Write, but do not solve, an equation involving an integral expression of r whose solution gives the earliest
time t at which there is no longer a line for the ride.
noH Jad ajdoa
Transcribed Image Text:r(1) There are 700 people in line for a popular amusement-park ride when the ride begins operation in the morning. Once it begins operation, the ride accepts passengers until the park closes 8 hours later. While there is a line, people move onto the ride at a rate of 800 people per hour. The graph above shows the rate, r(t), at which people arrive at the ride throughout the day. Time t is measured in hours from the time the ride begins operation. 1.400 1,200 1,000 800 600 400 (a) How many people arrive at the ride between t = 0 and t = 3? Show the computations that lead to your answer. (b) Is the number of people waiting in line to get on the ride increasing or decreasing between t = 2 and t = 3? Justify 200 0- 6. Time (hours) your answer. (c) At what time t is the line for the ride the longest? How many people are in line at that time? Justify your answers. (d) Write, but do not solve, an equation involving an integral expression of r whose solution gives the earliest time t at which there is no longer a line for the ride. noH Jad ajdoa
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