1 / 12

Understanding the Rate of Change in Linear Relationships and Its Applications

The rate of change in a linear relationship reflects the steepness of the graph, crucial for various fields. For instance, architectural pitch in roofs reduces snow buildup, while engineers assess road grades using percent rates. A rate of change of 8% implies an 8-unit rise for every 100 units run. Additionally, accurate calculations are vital for safety in wheelchair ramps and staircase design. Understanding these concepts helps interpret practical applications in everyday scenarios, enhancing engineering and architectural practices.

kaiser
Télécharger la présentation

Understanding the Rate of Change in Linear Relationships and Its Applications

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related