Section 4.2 rate of change (math)

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Transcript of Section 4.2 rate of change (math)

  • 1. Section 4.2 Rate of Change

2. Rate of Change of a Linear Relationship Therate of changeof a linear relationship is thesteepness of the line. rise run Rate of Change = 3. Rates of changeare seen everywhere. 4. Thesteepnessof the roof of a house is referred to as thepitchof the roof by home builders. 5. Give one reason why some homes have roofs which have a greaterpitch . There is less snow buildup in the wintertime. 6. Engineers refer to therate of changeof a road as thegrade . 7. They often represent the rate of change as apercentage . 8. A grade of 8% would mean for everyriseof 8 units there is a runof 100 units . = 8% 8 100 Rate of change = 9. The steepness of wheelchair ramps is of great importance for safety. Rate of change of wheelchair ramp =1 12 If the rise is 1.5 m, what is the run? Answer: 18 mbecause 10. 3 m 5 m Determine the rate of change ( pitch ) of the roof. 11. Determine the rate of change of each staircase. 2 3 3 3 12. Determine the rate of change. Which points will you use to determine rise and run? = $5/hr 20 4 Earnings Number of Hours Worked What does this rate of change represent? The hourly wage 13. Page 163 # 4 18 even