unit+2+journals+rsponses

__** 2.1: **__

Using a sheet of graph paper, graph each pair of equations on the same coordinate system. (There should be 2 lines on each graph.) __**You may use the document link below to help organize your thinking process and for the coordinate planes.**__

[|2.1 journal response.doc]

Answer the following questions __**on your graph paper or on the document you printed**__ and put your work in your classroom binder.
 * Identify how many intersections are shown on each graph.
 * Now look at the 2 equations that made the first graph. What is the relationship of their slopes?
 * Looking at the 2 equations that made the second graph, what is the relationship between their slopes?
 * Looking at the 2 equations that made the third graph, what is the relationship between their slopes?

__**On your wikispace**__, describe the relationship between different pairs of lines and their slopes as it relates to the number of intersections (solutions) that the system of equations will have. Be sure to discuss all 3 graphs and how they are similar or different.

=‍__Answer__= [|2.1 journal response.doc]

__ 2.2: __ Describe the 3 different methods for solving (finding a solution) to a system of equations. Why/When would you choose one method over the another? What are you looking for in each system to determine the best method? Discuss any tricks or special techniques to remember when solving each of the methods.

answer: we can solve by substitution, combination and graphing. we use combination if the two equations are equals by a numer. we use graphing methode if the equation are over a number, for ex: 5 over 2 equal 4, and we have to find the y-axis first which is 4n and then the x-axis, so we can graph the equation. we use substitution for ex: y= to an equation. i prefer to use combination and graphing because its a lot easier to solve.

__ 2.3: __Look at the graph below. Both functions represent two different bank accounts.


 * The blue linear function represents a bank account where a person deposited $1000. This person then deposits an additional 100 dollars at the end of each year.**


 * The red linear function represents a bank account where a person deposited $1050. This person then deposits an additional 75 dollars at the end of each year.**

Compare and contrast the two bank accounts in your online journal by answering the following questions:
 * Write a function that represents the red linear function.
 * What is the y-intercept of each function? Explain in the context of the situation.
 * What is the slope of each function? Explain in the context of the situation.
 * Which account is better? Is this always true? Be specific, using dates and account values from the graph to support your argument.
 * Which account would you choose when opening to save up for your college in a few years and why?
 * Would you choose that same account to start your child's college fund (if you had a child) and why?

answer: write a function that represents the red linear function what is the y-intercept of each function
 * y=1 over 2 3.5
 * the y-intercept for the red line is 3.5
 * the y-intercept for the blue line is 5
 * the slope for the red line is: 2800
 * the slope for the blue line is: 3000