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OpenStudy (gudetamas):
OpenStudy (danjs):
The average rate of change can be found if you calculate the slope of a line through the two interval endpoints...
OpenStudy (gudetamas):
how would u do that?
OpenStudy (danjs):
For example over x=1 to x=2 you have these two endpoints from the chart
x=1, y = g(1) = 50
x=2, y = g(2) = 20
points,
(1 , 50)
(2 , 20)
OpenStudy (danjs):
The average rate of change is the slope of a line through those points...
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OpenStudy (gudetamas):
so from 1 to 2 its 20
OpenStudy (gudetamas):
i mean 30* and it decreases by 10
OpenStudy (danjs):
if the average rate of change is +30, how can the value go down?
remember it is the difference in y over the difference in x...
\[slope = \frac{ y2 - y1 }{ x2 - x1 }= \frac{ 20 - 50 }{ 2 - 1 } = -30\]
OpenStudy (gudetamas):
ohok so -30
OpenStudy (gudetamas):
and 1 to 4 is -40?
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OpenStudy (danjs):
not quite... the two interval endpoints are
(1 , 50)
(4 , 10)