Water is flowing into a tank at a steady rate of 4 gallons per minute. Let t be the time, in minutes, since the process began, and let V be the volume, in gallons, of water in the tank. (a) Explain why V is a linear function of t. Since the water flows in at a steady rate of 4 gallons per minute, the volume V has a --Select--- v rate of change of ---Select--- v gallons per minute. Thus, V is a linear function with slope --Select-- constant Write an equation of change for V. dV/dt = decreasing increasing (b) If initially there were 7 gallons of water in the tank, find a formula for V. V(t) = (c) The tank can hold 21 gallons. How long will it take to fill the tank? (Round your answer to two decimal places.) min

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
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 17E: Later High School Graduates This is a continuation of Exercise 16. The following table shows the...
icon
Related questions
Question

Please answer all parts. Thanks

Water is flowing into a tank at a steady rate of 4 gallons per minute. Let t be the time, in minutes, since the process began, and let V be the volume, in gallons, of water in the tank.
(a) Explain why V is a linear function of t.
---Select--- v rate of change of ---Select--- v gallons per minute. Thus, V is a linear function
Since the water flows in at a steady rate of 4 gallons per minute, the volume V has
with slope
---Select---
constant
Write an equation of change for V.
dV/dt =
decreasing
increasing
(b) If initially there were 7 gallons of water in the tank, find a formula for V.
V(t) =
(c) The tank can hold 21 gallons. How long will it take to fill the tank? (Round your answer to two decimal places.)
min
Transcribed Image Text:Water is flowing into a tank at a steady rate of 4 gallons per minute. Let t be the time, in minutes, since the process began, and let V be the volume, in gallons, of water in the tank. (a) Explain why V is a linear function of t. ---Select--- v rate of change of ---Select--- v gallons per minute. Thus, V is a linear function Since the water flows in at a steady rate of 4 gallons per minute, the volume V has with slope ---Select--- constant Write an equation of change for V. dV/dt = decreasing increasing (b) If initially there were 7 gallons of water in the tank, find a formula for V. V(t) = (c) The tank can hold 21 gallons. How long will it take to fill the tank? (Round your answer to two decimal places.) min
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
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