Chapter 12.2, Problem 6CFU

To determine

To make a table to represent the situation.

Explanation of Solution

Given:

Refer to example $3$ .

Calculation:

Let us suppose that the original price of the copiers is $50000$ dollars

If the copier depreciate at a rate of $45\%$ per year, then they retain only $55\%$ of their vale each year

Hence the value of copiers at the beginning of each year can be formed a geometric sequence

The general term of the geometric sequence is

By using spread sheet the list of value of the copiers at the beginning of each year as below

  

To determine

To graph the numbers in the table.

Explanation of Solution

Given:

Refer to example $3$ .

Calculation:

By using graphing utility the graph of the above table by taking the years on horizontal axis and the value of the copiers is on vertical axis is as below

  

To determine

To describe the graph found in part (b).

Explanation of Solution

Given:

Refer to example $3$ .

Calculation:

By studying the above graph, it shows that the graph is decreasing curve, after $6$ years the value of the copiers is very less, at the end of the tenth year it is almost equal to zero.