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
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf5ef133-8d08-4205-a59d-e5965ebeed59%2Ff952eb88-2c4a-45f0-af12-827ea74dfec0%2Fdccf5jm_processed.png&w=3840&q=75)
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