Your numbers are all plugged in wrong.
Points are
(0, 0)
(8, 350)
On the numerator, should be the y values. On the denominator should be the x values.
If you know how to find the slope of a line (the slope formula) you are doing the EXACT same thing here.
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OpenStudy (agent0smith):
\[\large \frac{ y_2 - y_1 }{ x_2 - x_1 }\]
OpenStudy (shaleiah):
-175/4
OpenStudy (agent0smith):
Show work, because no.
OpenStudy (shaleiah):
\[\frac{ 350-0 }{ 0-8 }\]
=-175/4
OpenStudy (agent0smith):
Close but not quite.
(0, 0) is \((x_1, y_1)\)
(8, 350) is \((x_2, y_2)\)
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OpenStudy (shaleiah):
\[\frac{ 350-0 }{ 8-0 }=43.75\]
OpenStudy (agent0smith):
Now repeat the same method for the rest.
First identify the points, then find the slope between them.
OpenStudy (shaleiah):
(2,150)
(4,240)
OpenStudy (agent0smith):
I think it's probably 225 not 240
OpenStudy (shaleiah):
are you sure?
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OpenStudy (agent0smith):
It's in the middle between 200 and 250, so yes.
OpenStudy (agent0smith):
Now find the slope
zarkam21 (zarkam21):
Go to www.mathway.com It helps alot just put in the value :)))
OpenStudy (shaleiah):
can't... that's cheating.
OpenStudy (shaleiah):
\[\frac{ 225-150 }{ 2-4 }=-37.5\]
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OpenStudy (mathmale):
Why have you input 2-4 instead of 4-2?
Your formula is fine; the order in which you've entered your data is not.
OpenStudy (agent0smith):
You made the same mistake as earlier... gotta pay attention to your mistakes and learn from them.
OpenStudy (mathmale):
Note the order of appearance of the variables in the 'average rate of change" formula:\[ave.r.of.change=\frac{ f(b)-f(a) }{ b-a }\]
OpenStudy (shaleiah):
b. 37.5
OpenStudy (agent0smith):
Good, keep going. You should be able to do them all now.
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OpenStudy (shaleiah):
(4,225)
(5,300)
OpenStudy (agent0smith):
Yep
OpenStudy (shaleiah):
\[\frac{ 300-225 }{ 5-4 }=75\]
OpenStudy (agent0smith):
Yep
OpenStudy (shaleiah):
(5,300)
(6,300)
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OpenStudy (agent0smith):
Yep
OpenStudy (shaleiah):
\[\frac{ 300-300 }{ 6-5 }=0\]
OpenStudy (agent0smith):
Yep
OpenStudy (shaleiah):
(8,350)
(6,300)
OpenStudy (shaleiah):
\[\frac{ 350-300 }{ 8-6 }=25\]
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OpenStudy (agent0smith):
Yep
OpenStudy (shaleiah):
@mathmale what could I say for C ?
OpenStudy (agent0smith):
They were driving at diff. speeds
OpenStudy (shaleiah):
Alright, for D:
No, the rate of change isn't constant over the entire trip.