Section 4.2 Rate of Change
Rate of Change of a Linear Relationship The  rate of change  of a linear relationship is the  steepness   of the line. rise run Rate of Change   =
Rates of change  are seen everywhere.
The  steepness  of the roof of a house is referred to as the  pitch  of the roof by home builders.
Give one reason why some homes have roofs which have a greater  pitch . There is less snow buildup in the wintertime.
Engineers refer to the  rate of change  of a road as the  grade .
They often represent the rate of change as a  percentage .
A grade of 8% would mean for every    rise  of 8 units   there is a   run  of 100 units . = 8% 8 100 Rate of change =
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 m  because
3 m 5 m Determine the rate of change ( pitch ) of the roof.
Determine the rate of change of each staircase. 2 3 3 3
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
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Section 4.2 rate of change (math)

  • 1.
  • 2.
    Rate of Changeof a Linear Relationship The rate of change of a linear relationship is the steepness of the line. rise run Rate of Change =
  • 3.
    Rates of change are seen everywhere.
  • 4.
    The steepness of the roof of a house is referred to as the pitch of the roof by home builders.
  • 5.
    Give one reasonwhy some homes have roofs which have a greater pitch . There is less snow buildup in the wintertime.
  • 6.
    Engineers refer tothe rate of change of a road as the grade .
  • 7.
    They often representthe rate of change as a percentage .
  • 8.
    A grade of8% would mean for every rise of 8 units there is a run of 100 units . = 8% 8 100 Rate of change =
  • 9.
    The steepness ofwheelchair 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 m because
  • 10.
    3 m 5m Determine the rate of change ( pitch ) of the roof.
  • 11.
    Determine the rateof change of each staircase. 2 3 3 3
  • 12.
    Determine the rateof 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.
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