Let a = 1 A swimming pool is a² units long, a unit wide, 1 units deep at the shallow end, and 1 + a units deep at the deep end. Water is being pumped into the pool at 1/3 cubic units per minute, and the height of the body of water is 1 unit at the deep end a) Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a cross-section is the surface or shape exposed by making a straight cut through something at a right angle. b) What percentage of the pool is filled when there is 1 unit of water at the deep end? c) At what rate is the water level raising if the height is less or equal to a?

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
Chapter5: A Survey Of Other Common Functions
Section5.2: Power Functions
Problem 17E: Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height...
icon
Related questions
Question
Let a = 1
A swimming pool is a² units long, a unit wide, 1 units deep at the shallow end, and 1 + a units deep at
the deep end. Water is being pumped into the pool at 1/3 cubic units per minute, and the height of
the body of water is 1 unit at the deep end
a) Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a
cross-section is the surface or shape exposed by making a straight cut through something at a right angle.
b) What percentage of the pool is filled when there is 1 unit of water at the deep end?
c) At what rate is the water level raising if the height is less or equal to a?
2022
Transcribed Image Text:Let a = 1 A swimming pool is a² units long, a unit wide, 1 units deep at the shallow end, and 1 + a units deep at the deep end. Water is being pumped into the pool at 1/3 cubic units per minute, and the height of the body of water is 1 unit at the deep end a) Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a cross-section is the surface or shape exposed by making a straight cut through something at a right angle. b) What percentage of the pool is filled when there is 1 unit of water at the deep end? c) At what rate is the water level raising if the height is less or equal to a? 2022
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
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 & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell