(ii) Make a graph of- dw versus t. dt 15 15 10 10 dWidt dWidt 5 10 20 30 40 10 20 30 40 time time -6 -5 -10 -10 -15 -15 15 15 10 10 dWidt dWidt 10 20 30 40 10 20 30 40 time time -6 -6 -10 -10 -15 -15

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
Chapter2: Graphical And Tabular Analysis
Section2.5: Inequalities
Problem 2TU
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Please answer parts C and D(i,ii).

(ii) Make a graph of-
dw
versus t.
dt
15
15
10
10
dWidt
dWidt
5
10
20
30
40
10
20
30
40
time
time
-6
-5
-10
-10
-15
-15
15
15
10
10
dWidt
dWidt
10
20
30
40
10
20
30
40
time
time
-6
-6
-10
-10
-15
-15
Transcribed Image Text:(ii) Make a graph of- dw versus t. dt 15 15 10 10 dWidt dWidt 5 10 20 30 40 10 20 30 40 time time -6 -5 -10 -10 -15 -15 15 15 10 10 dWidt dWidt 10 20 30 40 10 20 30 40 time time -6 -6 -10 -10 -15 -15
Water is leaking out of a tank. The amount of water in the tank t minutes after it springs a leak is given by W(t) gallons.
dw
(a) Explain what means in practical terms.
dt
dw
tells us the change in the amount of water in the tank we expect in a minute's time.
dt
dw
tells us the amount of water left in the tank after a minute's time.
dt
dw
tells us the amount of water drained from the tank in a minute's time.
dt
dw
positive or negative?
dt
(b) As water leaks out of the tank, is.
positive
O negative
(c) For the first 6 minutes, water is leaking from the tank at a rate of 5 gallons per minute. What do you conclude about the nature of the function W during this period?
Since water is leaking out of the tank at a rate of 5 gallons per minute, the amount W of water in the tank is changing by 5
X gallons per minute. Thus W is ---Select---
v function of t with slope -5
(d) After about 6 minutes, the hole in the tank suddenly gets larger, and water begins to leak out of the tank at 14 gallons per minute.
(i) Make a graph of W versus t. Be sure to incorporate linearity where it is appropriate.
500
500
400
400
300
300
water
water
200
200
100
100
10
20
30
40
10
20
30
40
time
time
500
500
400
400
300
300
water
water
200
200
100
100
10
20
30
40
10
20
30
40
time
time
Transcribed Image Text:Water is leaking out of a tank. The amount of water in the tank t minutes after it springs a leak is given by W(t) gallons. dw (a) Explain what means in practical terms. dt dw tells us the change in the amount of water in the tank we expect in a minute's time. dt dw tells us the amount of water left in the tank after a minute's time. dt dw tells us the amount of water drained from the tank in a minute's time. dt dw positive or negative? dt (b) As water leaks out of the tank, is. positive O negative (c) For the first 6 minutes, water is leaking from the tank at a rate of 5 gallons per minute. What do you conclude about the nature of the function W during this period? Since water is leaking out of the tank at a rate of 5 gallons per minute, the amount W of water in the tank is changing by 5 X gallons per minute. Thus W is ---Select--- v function of t with slope -5 (d) After about 6 minutes, the hole in the tank suddenly gets larger, and water begins to leak out of the tank at 14 gallons per minute. (i) Make a graph of W versus t. Be sure to incorporate linearity where it is appropriate. 500 500 400 400 300 300 water water 200 200 100 100 10 20 30 40 10 20 30 40 time time 500 500 400 400 300 300 water water 200 200 100 100 10 20 30 40 10 20 30 40 time time
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