2.  You bought a new computer for $2,500.  Four years later, your computer is valued at $1,250. a.  Assume that the cost function will be linear and write a linear function to describe the cost of the computer ?t years after you bought it. b.  Assume that the cost function will be exponential (think of exponential decay) and write an exponential function to describe the cost of the computer ?t years after you bought it. c.  For each function you just wrote, find the rate at which the cost is depreciating 3 years after you bought it. d.  Which function do you think would be more accurate?  Write a complete sentence or two describing why you think so.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2.  You bought a new computer for $2,500.  Four years later, your computer is valued at $1,250.

a.  Assume that the cost function will be linear and write a linear function to describe the cost of the computer ?t years after you bought it.

b.  Assume that the cost function will be exponential (think of exponential decay) and write an exponential function to describe the cost of the computer ?t years after you bought it.

c.  For each function you just wrote, find the rate at which the cost is depreciating 3 years after you bought it.

d.  Which function do you think would be more accurate?  Write a complete sentence or two describing why you think so.

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