1. Magdalena's cell phone company gave her 750 minutes when she set up her account, and 300 minutes per month after that. She has used 280 minutes per month on average, and in addition to those minutes, she made one call overseas, which cost her 525 minutes. All of Magdalena's cell phone minutes roll over at the end of the month. a) Write the function m(t) that describes the number of minutes Magdalena has received from her cell phone company as a function of time t in months. b) Write the function n(t) that describes the number of cell phone minutes Magdalena has used as a function of time t in months. c) Write the function (m-n)(t) that describes the number of cell phone minutes Magdalena has remaining as a function of time t in months. d) How many cell phone minutes does Magdalena have remaining after 6 months?
1. Magdalena's cell phone company gave her 750 minutes when she set up her account, and 300 minutes per month after that. She has used 280 minutes per month on average, and in addition to those minutes, she made one call overseas, which cost her 525 minutes. All of Magdalena's cell phone minutes roll over at the end of the month. a) Write the function m(t) that describes the number of minutes Magdalena has received from her cell phone company as a function of time t in months. b) Write the function n(t) that describes the number of cell phone minutes Magdalena has used as a function of time t in months. c) Write the function (m-n)(t) that describes the number of cell phone minutes Magdalena has remaining as a function of time t in months. d) How many cell phone minutes does Magdalena have remaining after 6 months?
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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Transcribed Image Text:1. Magdalena's cell phone company gave her 750 minutes when she set up her account, and
300 minutes per month after that. She has used 280 minutes per month on average, and in
addition to those minutes, she made one call overseas, which cost her 525 minutes. All of
Magdalena's cell phone minutes roll over at the end of the month.
a) Write the function m(t) that describes the number of minutes Magdalena has received
from her cell phone company as a function of time t in months.
b) Write the function n(t) that describes the number of cell phone minutes Magdalena has
used as a function of time t in months.
c) Write the function (mn)(t) that describes the number of cell phone minutes
Magdalena has remaining as a function of time t in months.
d) How many cell phone minutes does Magdalena have remaining after 6 months?
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