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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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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 steepnessof the line.


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.


100

8

Rate of change =

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

= 8%


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


Determine the rate of change (pitch) of the roof.

3 m

5 m


3

2

3

3

Determine the rate of change of each staircase.


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


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