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SITUATION 1 Snowfall. There are two inches on the ground at midnight. Each hour the snowfall increase by ½ inch. . GRAPH . SLOPE (rate of change). Y-intercept (initial value).
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SITUATION 1 Snowfall There are two inches on the ground at midnight. Each hour the snowfall increase by ½ inch. GRAPH SLOPE (rate of change) Y-intercept (initial value) 2 1/2 2 1 2 TABLE EQUATION 1 Hour after midnight Snowfall (inches) Y = 1/2x + 2 0 2 +1/2 2.5 1 +1/2 2 3 +1/2 3 3.5 SEQUENCE 2.5 3 3.5 4 2 +1/2 +1/2 +1/2 +1/2 NEXT-NOW STATEMENT Practical Domain All non-negative numbers Practical Range NEXT = NOW + ½; starting at 2 All numbers at least two
SITUATION 2 Rainfall GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION y = 1/4x + 6 SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 3 (Cab fare) GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 4 (money saved in bank) GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 5 (money in wallet paying for sodas) GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 6 (Water in bathtub) GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 7 (Filling a bathtub) GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Next = Now + ½; starting at 3 Practical Range
SITUATION 8 GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 9 (Lemonade Stand) GRAPH SLOPE 2 (rate of change) Y-intercept -10 (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 10 (Waiting in Line) There are 10 people waiting in line before a store opens. Five people enter the line every two minutes. GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 11 (Temperature (Co) over time) GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range
SITUATION 12 ______________________________ GRAPH SLOPE (rate of change) Y-intercept (initial value) TABLE EQUATION SEQUENCE NEXT-NOW STATEMENT Practical Domain Practical Range