Concept explainers
a.
To find the linear model
a.

Answer to Problem 35E
Explanation of Solution
Given Information:
A laptop computer that costs new has a book value of
after
years.
Calculation:
Linear model is
for
for
Therefore, the linear model is.
b.
To find the exponential model
b.

Answer to Problem 35E
Explanation of Solution
Exponential model is
for
for
Therefore, the exponential model is
c.
To graph the two models using the graphing utility and find out which model depreciates faster in two years.
c.

Answer to Problem 35E
The exponential model depreciates faster.
Explanation of Solution
The graph for both linear and exponential models are shown below:
The blue color graph represents exponential model and green color graph represents linear model.
From the above graphs we can say that exponential model depreciates faster than linear model in the first 2 years.
d.
To find out the book values of the computer after one year and three years using each model.
d.

Answer to Problem 35E
and
Explanation of Solution
For the linear model
The book value after one year is;
--- three years is;
For the exponential model
The book value after one year is;
--- three years is;
e.
To explain the advantages and disadvantages of using each model to a buyer and a seller.
e.

Explanation of Solution
Advantages to buyer:
1) The buyer can get the product for less money with exponential model in first 2 years.
2) The buyer can get the product for less money with linear model after 2 years.
Disadvantages to buyer:
1) The product will cost more for the buyer with linear model in first 2 years.
2) The product will cost more for the buyer with exponential model after 2 years.
Advantages to seller:
1) The product will be sold at more cost with linear model in first 2 years.
2) The product will be sold at more cost with exponential model after 2 years.
Disadvantages to seller:
1) The product will be sold at less cost with exponential model in first 2 years.
2) The product will be sold at less cost with linear model after 2 years.
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
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