a.
To find: The
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 44E
The wait time of a person in minutes who arrives at time
Explanation of Solution
Given information:
The piece-wise function for the number of people waiting in the line from noon until 5 pm is,
Calculation:
Since the ride can 1500 per hour, the number of people taking the ride per minute is
If a person arrives at time
Conclusion:
The wait time of a person in minutes who arrives at time
b.
To find: The average wait time between noon and 5 pm.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 44E
The wait time of a person in minutes is
Explanation of Solution
Given information:
The piece-wise function for the number of people waiting in the line from noon until 5 pm is,
Calculation:
From part (a), the wait time of a person in minutes who arrives at time
So, the average wait time between noon and 5 pm is given by
Now, evaluate the integral
Therefore, the average time in minutes is
Conclusion:
The wait time of a person in minutes is
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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