Review examples 2, 3,and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. If need more information let me know
We do not know which text-book you use, and not sure if we have the book even if we knew.
If you have difficulties finding a problem similar to the cited examples, post what you have, as well as the examples. We can better help you that way.
I am a tutor for a student working on the same thing so I somewhat know this material. (the book is Introductory and Intermediate Algebra for College Students, by the way)
Unfortunately I don't have the book, so I am using my general knowledge and the girl I tutor sent me a screen shot of one page. The unfortunate thing is that I still cannot help her share a problem with the class because we can't flip through the book.
How does the author determine what the first equation should be?
The first step is to make a total value problem. This step helps us familiarize ourselves with the information given and makes it easier to understand.
What about the second equation?
The second equation is where they put in more general information from the word problem and make it a system of equations.
How are these examples similar?
They are similar because they both take the word problems and change the information into equations. They are similar because they use the same letters and they are trying to solve the values of each variable.
How are they different?
They are different because they use completely different facts from the information.
To answer your questions about examples 2, 3, and 4 in section 8.4 of the text and how the author determines the equations and their similarities and differences, I would need more information. Specifically, I need the title of the text, the author's name, and any relevant details about the specific examples.
However, I can provide you with a general approach on how to determine the equations for examples in a math or science text:
1. Read the problem carefully: Understand the problem statement, identify the given information, and determine what needs to be solved.
2. Identify known and unknown variables: Determine the quantities that are known (given) and the quantities that are unknown (to be solved for).
3. Use equations or formulas: Based on the problem statement and the known and unknown variables, determine the appropriate equations or formulas to use. This typically involves applying relevant mathematical or scientific principles.
4. Simplify and solve the equations: Simplify the equations if needed, and solve them to find the value(s) of the unknown variable(s).
As for the similarities and differences between the examples, once I have more information about examples 2, 3, and 4, I can provide a more detailed analysis.
Regarding finding a problem similar to examples 2, 3, and 4, I would need to know the specific topic or concept covered in section 8.4 of the text. Please provide the relevant information, and I can assist you further.