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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 61E
icon
Related questions
Question
Ch 2.3 #30 Can you help me with this please
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
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:

ddxxn=nxn-1ddxCfx=Cddxfx       C is constantddxconstant=0

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning