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 y =or k = xy 1.) If y varies inversely with x and y = 12 when x = 4, what is the equation? 2.) From the equation above (#1) what would y be if x =

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Presentation on theme: " y =or k = xy 1.) If y varies inversely with x and y = 12 when x = 4, what is the equation? 2.) From the equation above (#1) what would y be if x ="— Presentation transcript:

1

2  y =or k = xy

3 1.) If y varies inversely with x and y = 12 when x = 4, what is the equation? 2.) From the equation above (#1) what would y be if x = 10

4 Graph the inverse equation y = xy -3 -2 0 1 2 3

5  Always positive!!!!!  Examples: 1.) -62.) 5 3.) ½ 4.) - ¼

6  Do what is inside first then take the absolute value  Examples: 1.) 3 – 62.) 5 – 7 + 2

7 2( 4x + 3) < 5x + 10

8  The “parent function” is y = x  This is the before line

9  If you add a number to the equation it moves your line up that many spaces Example: y = x + 4

10  If you subtract a number to the equation it moves your line down that many spaces Example: y = x - 4

11  If you multiply a number to the equation it make the line stand up more Example: y = 6x

12  If you divide a number to the equation it makes your line lay flatter to the x axis Example: y = ½ x

13  If you multiply or divide by a negative it switches the direction of the line Example: y = -2x

14  1. Read the question and figure out what they are asking you to find.  2. Figure out what you already know and highlight important information.  3. Create an equation/ solve.  4. Check your answer: plug it in or ask yourself does this make sense?

15  1.) 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

16  2.) Maci won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?

17 Example: y = 4x A.) (5, 20) B.) (-5, -20) C.) (1.5, 6) Try: y = 2x + 3 A.) (4, 11)B.) (3, 9)C.) (5, 9)

18  Carrie and her sister Kim were both born on October 25 th, but Kim was born two years before Carrie. Table Equation Graph CarrieKim

19  1. Stat  2. Enter  3. Plug x’s in L1 and y’s in L2  4. Stat  5. Over to Calc  6. # 4 LinReg  7. Enter  8. Put in y = mx + b form

20 1. (3, 25) (5, 30) (7, 37) (9, 45) (11, 50) 2. (1, 7) (2, 5) (3, 4) (4, 3) (5, 2)

21  1. (0, 25) (1, 19) (2, 17) (3, 14) (4, 10)  2. (0, 2) (1, 3) (2, 5) (3, 9) (4, 12)  3. (5, 1) (6, 4) (7, 7) (8, 9) (9, 13)


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