For a long-distance phone call, a hotel charges $9.19 for the first minute and $0.80 for each additional minute or fraction thereof. A formula for the cost is given below, where t is the time in minutes. (Note: [[x]]= greatest integer n such that n s x. For example [[3.2]] = 3 and [[-1.6]] = -2.) C(t) = 9.19 0.80[[-(t-1)]] (a) Use a graphing utility to graph the cost function for 0
For a long-distance phone call, a hotel charges $9.19 for the first minute and $0.80 for each additional minute or fraction thereof. A formula for the cost is given below, where t is the time in minutes. (Note: [[x]]= greatest integer n such that n s x. For example [[3.2]] = 3 and [[-1.6]] = -2.) C(t) = 9.19 0.80[[-(t-1)]] (a) Use a graphing utility to graph the cost function for 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![For a long-distance phone call, a hotel charges $9.19 for the first minute and $0.80 for each additional minute or fraction thereof. A formula for the cost is given below, where t is the time in minutes. (Note: [[x]] = greatest integer n such that n ≤ x. For example [[3.2]] = 3 and [[-1.6]]
C(t) = 9.19 0.80[[ - (t-1)]]
(a) Use a graphing utility to graph the cost function for 0 < t < 5.
20
15-
C(t) 10-
5-
20-
15-
C(t) 10-
5-
1
1
2
2
t
t
3
3
4
Use the graph and the table to find the following limit.
lim C(t)
t-3.5
5
Does the limit of C(t) as t approaches 3 exist?
O The limit exists.
O The limit does not exist.
20
15-
C(t) 10-
5-
201
15-
C(t) 10-
5-
1
1
2
2
t
t
3
3
4
(b) Use the graph to complete the table below and observe the behavior of the function as t approaches 3.5.
t
3
3.3
3.4
3.5
3.6
3.7
4
C(t)|
5
(c) Use the graph to complete the table below and observe the behavior of the function as t approaches 3.
t
2
2.5
2.9
3
3.1
3.5
4
C(t)
: -2.)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab6702de-5579-4c14-bacb-4d8e7e421acd%2F55f0cdde-b6a2-4f5e-ad07-5650aacfa153%2Fm9k41yf_processed.png&w=3840&q=75)
Transcribed Image Text:For a long-distance phone call, a hotel charges $9.19 for the first minute and $0.80 for each additional minute or fraction thereof. A formula for the cost is given below, where t is the time in minutes. (Note: [[x]] = greatest integer n such that n ≤ x. For example [[3.2]] = 3 and [[-1.6]]
C(t) = 9.19 0.80[[ - (t-1)]]
(a) Use a graphing utility to graph the cost function for 0 < t < 5.
20
15-
C(t) 10-
5-
20-
15-
C(t) 10-
5-
1
1
2
2
t
t
3
3
4
Use the graph and the table to find the following limit.
lim C(t)
t-3.5
5
Does the limit of C(t) as t approaches 3 exist?
O The limit exists.
O The limit does not exist.
20
15-
C(t) 10-
5-
201
15-
C(t) 10-
5-
1
1
2
2
t
t
3
3
4
(b) Use the graph to complete the table below and observe the behavior of the function as t approaches 3.5.
t
3
3.3
3.4
3.5
3.6
3.7
4
C(t)|
5
(c) Use the graph to complete the table below and observe the behavior of the function as t approaches 3.
t
2
2.5
2.9
3
3.1
3.5
4
C(t)
: -2.)
=
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