a.
To write:
A system of equations describing the total cost of buying and operating each printer.
a.
Answer to Problem 25E
Our required system of equations would be:
Explanation of Solution
Given:
You are trying to decide whether to buy an inkjet printer for $100 or a laser printer for $400. The operating costs are estimated to be $0.15 per page for the inkjet printer and $0.03 per page for the laser printer.
Calculation:
Letxrepresent number of pages and y represent total cost.
The cost of printing x pages by inkjet printer would be
The cost of printing x pages by laser printer would be
Therefore, our required system of equations would be:
b.
To solve:
The system of equations using a graphing calculator. After how many pages are the total costs of the printers equal.
b.
Answer to Problem 25E
The total costs of both printers will be equal after 2500 pages.
Explanation of Solution
Given:
You are trying to decide whether to buy an inkjet printer for $100 or a laser printer for $400. The operating costs are estimated to be $0.15 per page for the inkjet printer and $0.03 per page for the laser printer.
Calculation:
Using an online graphing tool, we will get:
We can see that both lines intersect at
c.
To solve:
The system of equations using the given verbal model.
c.
Answer to Problem 25E
The total costs of both printers will be equal after 2500 pages.
Explanation of Solution
Given:
You are trying to decide whether to buy an inkjet printer for $100 or a laser printer for $400. The operating costs are estimated to be $0.15 per page for the inkjet printer and $0.03 per page for the laser printer.
Calculation:
To solve the given system of equations, we will equate both equations as:
Let us solve for x .
Therefore, the total costs of both printers will be equal after 2500 pages.
d.
To compare and contrast:
The methods used in part (b) and part (c). When would you use each method?
d.
Explanation of Solution
Given:
You are trying to decide whether to buy an inkjet printer for $100 or a laser printer for $400. The operating costs are estimated to be $0.15 per page for the inkjet printer and $0.03 per page for the laser printer.
Calculation:
We can see that we got same answer using graphing method and solving the system algebraically.
We will use graphing method when the equations contain complicated expressions.
We will solve system of equations manually, when the equations contain easy numbers and are easily computable.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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