Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 11E: A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into...
Related questions
Topic Video
Question
A-c please
![13. The Student Council elections were held at school between 7:00 am and 3:00 pm. Students
deposited their ballots in a special box located in the media center. The number of entries
in the box t hours after 7:00 am is modeled by a differentiable function E(t) for 0 <ts 8.
The table below shows the number of ballots, at various times t during the day.
t (hours)
3
8
E(t) (ballots)
120
382
578
694
A. At what rate are the ballots being deposited into the box at noon (t = 5)? Show your computations
that lead to your answer.
B. Using a trapezoidal sum with four subintervals, approximate the value of the expression below.
Then, using correct units in context of the scenario, explain the meaning of the expression.
E(t) dt
C. At 3:00 pm, the student council election committee begins to count the ballots at a rate modeled
by the function where P(t):
250
ballots per hour for 8 <ts 12. According to the
1+ (0.6t-5)2
model, how many ballots remain to be counted by 6:00 p.m. (t = 11 ) ?
D. The election committee tallied ballots from 3:00 pm to 7:00 pm. According to the model P(t).
from part [C] above, at what time 8 <t 12,were the ballots being counted at the fastest rate?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0739fd99-8b48-4ddc-9974-6d50d1d09f46%2Fadebaa03-36eb-4f4c-ad05-5be759f6f485%2Fjmqijre_processed.jpeg&w=3840&q=75)
Transcribed Image Text:13. The Student Council elections were held at school between 7:00 am and 3:00 pm. Students
deposited their ballots in a special box located in the media center. The number of entries
in the box t hours after 7:00 am is modeled by a differentiable function E(t) for 0 <ts 8.
The table below shows the number of ballots, at various times t during the day.
t (hours)
3
8
E(t) (ballots)
120
382
578
694
A. At what rate are the ballots being deposited into the box at noon (t = 5)? Show your computations
that lead to your answer.
B. Using a trapezoidal sum with four subintervals, approximate the value of the expression below.
Then, using correct units in context of the scenario, explain the meaning of the expression.
E(t) dt
C. At 3:00 pm, the student council election committee begins to count the ballots at a rate modeled
by the function where P(t):
250
ballots per hour for 8 <ts 12. According to the
1+ (0.6t-5)2
model, how many ballots remain to be counted by 6:00 p.m. (t = 11 ) ?
D. The election committee tallied ballots from 3:00 pm to 7:00 pm. According to the model P(t).
from part [C] above, at what time 8 <t 12,were the ballots being counted at the fastest rate?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage