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Let C = charge in dollars

A phone company charges $20.50 per month and 10 c for each additional minute . Write a linear equation for the charge in terms of the number of minutes. Warm Up. Let C = charge in dollars. Let m = # of minutes. C = 20.50 + 0.10 m. Start Value. Change.

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Let C = charge in dollars

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  1. A phone company charges $20.50 per month and 10 c for each additional minute . Write a linear equation for the charge in terms of the number of minutes. Warm Up Let C = charge in dollars Let m =# of minutes C = 20.50 + 0.10 m Start Value Change

  2. A phone company charges $56.00 per month and 40 c for each additional minute . Write a linear equation for the charge in terms of the number of minutes. Warm Up Let C = charge in dollars Let m =# of minutes C = 20.50 + 0.10 m Start Value Change

  3. Warm Up Solve for y. 1) 3x + 5y = 10 A) y = -3/5x +2 2) 2x + y = 5 A) y = -2x+ 5

  4. Note #2Standards:6,7 4.2 Graphing Linear Equations Objective –Graph a linear equation using a table or a list of values.Pg.210

  5. Objective - To graph linear equations using x-y charts. Two Variable Equations One Variable Equations 2x - 3 = 11 x + y = 5 +3 +3 Ordered Pairs (x,y) y x Solutions: 2x = 14 1 2 4 5 7 4 3 1 0 -2 x = 1, y = 4 (1,4) 2 2 (2,3) x = 7 x = 2, y = 3 x = 4, y = 1 (4,1) One Solution (5,0) x = 5, y = 0 (7,-2) x = 7, y = -2 ( , ) Two Solutions Infinite Solutions

  6. State whether the given point is a solution to 3x - y = 5. 1) (2, 1) 2) (4, 5) 3) (-3, -14) 4) (-1, 2) Yes 3(2) - 1 = 5 No 3(4) - 5 = 5 Yes 3(-3) --14 = 5 No 3(-1) - 2 = 5

  7. Complete the chart and graph. Warm Up y y = 3x - 2 x y -3 -2 -1 0 1 2 3 3(-3) - 2 = -11 3(-2) - 2 = -8 x

  8. Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3

  9. Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3

  10. Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3

  11. Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3

  12. Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3

  13. Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3 This line represents all real solutions to y = 2x - 3.

  14. Solve the following equations for y. (Function Form) 2) -x + 2y =-4 1) 2x + y = 5 +x +x -2x -2x 2y = x - 4 y =-2x + 5 2 2

  15. Rewrite the equation in function form. 4) -2x + 3y =-6 3) 3x + 5y = 10 -3x -3x +2x +2x 5y =-3x + 10 3y = 2x - 6 5 5 3 3

  16. Solve the equation for y, complete the chart, and graph. 1) 3x + 2y = 4 -3x -3x y x y 2y =-3x + 4 -4 -2 0 2 4 6 8 2 2 5 2 x -1 -4 -7

  17. Rewrite in function form, complete the chart, and graph. 2) x - 3y = 6 -x -x y x y -3y =-x + 6 -6 -3 0 3 6 9 -4 -3 -3 -3 -2 x -1 0 1

  18. Solve the equation for y, find at least five solutions, and graph. 3) x + 2y = 8 y -x -x x y 2y =-x + 8 -4 -2 0 2 4 6 6 2 2 5 4 x 3 2 1

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