A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank, in gallons, after t minutes. t (minutes) V (gallons) 694 10 443 15 250 20 110 25 28 30 (a) Use a graphing calculator to find a quadratic model for V. (Round all numerical values to two decimal places.)
A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank, in gallons, after t minutes. t (minutes) V (gallons) 694 10 443 15 250 20 110 25 28 30 (a) Use a graphing calculator to find a quadratic model for V. (Round all numerical values to two decimal places.)
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...
Related questions
Question
Ch 2.3 #30
Can you help me with this please
Transcribed Image Text:A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank, in gallons, after t minutes.
t (minutes) V (gallons)
694
10
443
15
250
20
110
25
28
30
(a) Use a graphing calculator to find a quadratic model for V. (Round all numerical values to two decimal places.)
V(t) =
(b) Use the model to compute V'(10). (Round your answer to one decimal lace.)
Then interpret your result in this context.
gallons per minute after
minutes.
The water volume is ---Select--- e at a rate of
Expert Solution
Step 1
Given:
The volume V of water remaining in the tank in gallons after t minutes is shown in the table,
| t(minutes) | V(gallons) |
| 5 | 694 |
| 10 | 443 |
| 15 | 250 |
| 20 | 110 |
| 25 | 28 |
| 30 | 0 |
Formula used:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning