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 ID: 561408
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Slide1
Rate of ChangeSlide2
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
=
Slide3
Rates of change
are seen everywhere.Slide4
The
steepness
of the roof of a house is referred to as the pitch of the roof by home builders.Slide5Slide6
Give one reason why some homes have roofs which have a greater
pitch
.
There is less snow buildup in the wintertime.Slide7
Another example built in the mountains……..Slide8
Engineers refer to the
rate of change
of a road as the grade.Slide9
They often represent the rate of change as a
percentage
.Slide10
A grade of 8% would mean for every
rise of 8 units there is a run
of 100 units.
8
100
= 8%
Rate of change =
Slide11Slide12Slide13
What is that in the distance?Slide14
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
Slide15
3 m
5 m
Determine the rate of change (
pitch
) of the roof.Slide16
2
3
3
3
Determine the rate of change of each staircase.Slide17
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