unit+2

__** 2.1: **__
Identify how many intersections are shown on each graph. rdered pair solution in both original equation Identify how many intersections are shown on each graph. -first graph has one intersections -second graph has no intersctions -third graph has 5 intersections(infinite)

Now look at the 2 equations that made the first graph. What is the relationship of their slopes? -one solution(4,5)

Looking at the 2 equations that made the second graph, what is the relationship between their slopes? ---no solution

Looking at the 2 equations that made the third graph, what is the relationship between their slopes? --infinite solution

__ 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.

The 3 different methods for solving to a system of equations is graphing, elimination, and substitution. Graphing is putting the line in on a graph by coordinates of the equation. Elimination is when you eliminate one of the variables to solve for another. Substitute is when you plug an equation to another to solve for a variable. I would choose one of the methods over another if a equation is complexed and different from another. What you are looking for when you determine the best method is eliminationating one of the variables to solve for another. When solving for each of the methods, try to a line them together to solve easier because if they are not lined up together, it will be difficult to solve unless you substitute. Make sure when you solve the equation, plug in a value of X and Y that fits into the equation to see if it matches in the solution.

__ 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. **  2.B) The y-intercept in the red linear function will be 1.14. The y-intercept in context will be the starting point of money in the bank    3. The slope of blue linear function will be .-1. The slope in context will be if the money is going positive.    3.B) The slope of the red linear function will be -.07. The slope in the context will be if the money is going positive in the bank account. 4 . The bank account to use is the blue linear bank. Starting price is lower but eventually you will have more money than the red linear bank. The bank accounts that meet is at (2,1225?) then the blue function just goes higher and the red linear slightly lower proving that its less than the blue. 5. The account I would choose would be blue bank since it ends up gaining more money over the years. 6. I would not choose the same account because my "child" wouldnt be going to college anytime soon it takes about 18 years to save up. What if the bills and stuff come and that few extra dollars would have to be put into the house before the bank account. So I would put in more money to start the account and then put in less money over the years.
 * Compare and contrast the two bank accounts in your online journal by answering the following questions: **
 * 1) Y=1050+75x represents the read linear function
 * 2) The y-intercept in blue linear function will be 1.2. The y-intercept in context will be the starting point of money in the bank