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5, 7, 9, 11, 13, 15, 17 +2 Next = Now + 2; Starting at 5 Y = 2x + 5 Slope (change) Y-intercept (starting value) Next = Now + SLOPE; Starting at Y-INTERCEPT.

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Presentation on theme: "5, 7, 9, 11, 13, 15, 17 +2 Next = Now + 2; Starting at 5 Y = 2x + 5 Slope (change) Y-intercept (starting value) Next = Now + SLOPE; Starting at Y-INTERCEPT."— Presentation transcript:

1 5, 7, 9, 11, 13, 15, 17 +2 Next = Now + 2; Starting at 5 Y = 2x + 5 Slope (change) Y-intercept (starting value) Next = Now + SLOPE; Starting at Y-INTERCEPT y = SLOPE(x) + Y-INTERCEPT

2 There are two inches on the ground at midnight. Each hour the snowfall increase by ½ inch. SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

3 SITUATION 2 Rainfall Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION y = 1/4x + 6

4 SITUATION 3 (Cab fare) X Miles Y Cab fare 03 15.50 28 310.5 TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

5 SITUATION 4 (money saved in bank) Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th 507090110 SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

6 SITUATION 5 (money in wallet paying for sodas) Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th 8642 SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

7 SITUATION 6 (water in bathtub) Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

8 SITUATION 7 (Filling a bathtub) Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION Next = Now + ½; starting at 3

9 SITUATION 8 X Time (min) Y Words typed 248 496 TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

10 SITUATION 9 (Lemonade Stand) Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE 2 (rate of change) Y-intercept -10 (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

11 There are 10 people waiting in line before a store opens. Five people enter the line every two minutes. SITUATION 10 (Waiting in Line) Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

12 SITUATION 11 (Temperature (C o ) over time) Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th 73 SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION

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