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Rate of Change

Rate of Change. run. rise. Rate of Change =. Rate of Change of a Linear Relationship. The rate of change of a linear relationship is the steepness of the line. Rates of change are seen everywhere.

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Rate of Change

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  1. Rate of Change

  2. run rise Rate of Change= Rate of Change of a Linear Relationship The rate of change of a linear relationship is the steepnessof the line.

  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 reason why some homes have roofs which have a greater pitch. There is less snow buildup in the wintertime.

  6. Engineers refer to the rate of change of a road as the grade.

  7. They often represent the rate of change as a percentage.

  8. 100 8 Rate of change = A grade of 8% would mean for every rise of 8 unitsthere is arun of 100 units. = 8%

  9. The steepness of wheelchair ramps is of great importance for safety. 1 12 Rate of change of wheelchair ramp = If the rise is 1.5 m, what is the run? Answer: 18 m because

  10. Determine the rate of change (pitch) of the roof. 3 m 5 m

  11. 3 2 3 3 Determine the rate of change of each staircase.

  12. Determine the rate of change. Which points will you use to determine rise and run? Earnings 4 20 = $5/hr What does this rate of change represent? Number of Hours Worked The hourly wage

  13. Determine the rate of change. Which points will you use to determine rise and run? Distance -30 6 = -5 km/h What does this rate of change represent? Number of Hours Speed and direction

  14. Determine the rate of change. Which points will you use to determine rise and run? Distance 6 = 0 What does this rate of change represent? Number of Hours Speed and direction

  15. Summary: Types of Slopes • Positive Slope • Negative Slope • Zero Slope • Undefined Slope • Slopes in General: Homework: 5.3.1: Ramps, Roofs, and Roads Handout on slopes

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