Someone help? Please(:
The table below represents the atmospheric temperature at a location as a function of the altitude:
Altitude Temperature
(in thousand feet) (in °C)
x f (x)
15 4
20 -6
25 -16
30 -26
The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.
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OpenStudy (muzzack):
okay this process is easy, do you know what the formula for the rate of change is?
OpenStudy (muzzack):
lets say y=f(x)
OpenStudy (jocelynstalnaker):
Ok.
OpenStudy (muzzack):
alright what we do is we take x=15 when x=15 what does y=?
OpenStudy (jocelynstalnaker):
4
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OpenStudy (muzzack):
exactly this is our 1st coordinate
OpenStudy (muzzack):
(15,4)
OpenStudy (muzzack):
now how about x=20, what does y=?
OpenStudy (jocelynstalnaker):
(20,-16)
OpenStudy (muzzack):
good, now do you know what the rate of change formula
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OpenStudy (muzzack):
if you dont know i can explain it for you
OpenStudy (jocelynstalnaker):
I know it, m = y2-y1/x2-x1
OpenStudy (muzzack):
good
so replace those two coordinatinates and find the average rate of change
OpenStudy (jocelynstalnaker):
0.25
OpenStudy (jocelynstalnaker):
Right?
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