1. Initial Value 1st2nd3rd4th There are two inches on the ground at midnight. Each hour the snowfall increase by ½ inch. SITUATION 1 Snowfall Xy TABLE GRAPH SEQUENCE SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION 2 1/2 Y = 1/2x + 2 Hour after midnight Snowfall (inches) 0 1 2 3 2.5 2 3 3.5 +1/2 2 2.533.54 NEXT = NOW + ½; starting at 2 All non-negative numbers All numbers at least two 1 2 1 2 +1/2

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

12. SITUATION 12 ______________________________ Xy TABLE GRAPH SEQUENCE Initial Value 1st2nd3rd4th SLOPE (rate of change) Y-intercept (initial value) NEXT-NOW STATEMENTPractical Domain Practical Range EQUATION