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Exponential Function V(t)

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A fax machine is purchased for $5,800. Its value each year is about 80% of the value of the preceding year. So after t years the value, in dollars, of the fax machine, V(t), is given by the exponential function

V(t) = 5800 (0.8)t.

a. Give a sketch of the graph of the function V(t). Your graph can be a "rough draft".
b. Determine the value of the fax machine in years 0, 1 and 4. to the nearest tenth.
c. Assume that the company decides to replace the machine when the machines values reduces to $500. In how many years will the machine be replaced.

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Solution Summary

Word document attached gives a sketch of the graph and the value of a fax machine after some years in service.

$2.19
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Exponential Function Amounts

1. A laptop computer is purchased for $1500. Its value each year is about 80% of its value in the preceding year. Its value in dollars after t years is given by the exponential function
V(t) = 1500(0.8)^t.

A)After what amount of time will the computer's value be $900?
B)After what amount of time will the computer's value be half the original value?
Please show your work.

2. World population growth. In 2008, the world population
was 6.7 billion and the exponential growth
rate was 1.14% per year.

a) Find the exponential growth function.
b) Predict the world population in 2014.
c) When will the world population be 8.0 billion?

Please show your work.

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