graph in comments below!!
What is the rate of change between the interval x = π and x = three pi over two ? (1 point)
pi over 16
negative 16 over pi
pi over 4
negative 4 over pi
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OpenStudy (supersquidsisters):
satellite73 (satellite73):
what is the function?
satellite73 (satellite73):
ok i see it
what is \(y\) where \(x=\pi\)?
OpenStudy (supersquidsisters):
y would equal 7
satellite73 (satellite73):
yes it would
now what is \(y\) where \(x=\frac{3\pi}{2}\)?
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OpenStudy (supersquidsisters):
y would equal -1
satellite73 (satellite73):
yes
now, very carefully, we aer going to compute the slope of the line between the two points \[(\pi,7)\] and \[(\frac{3\pi}{2},-1)\]
ready
satellite73 (satellite73):
this is where you say, "yes, ready to compute \[\frac{y_2-y_1}{x_2-x_1}\]"
OpenStudy (supersquidsisters):
ok, so it would be -1 - 7 over 3pi/2 over pi ???
satellite73 (satellite73):
yes, if you change that last "over" to "minus"
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OpenStudy (supersquidsisters):
oh oops typo hehe thats what i meant
satellite73 (satellite73):
-1 - 7 over 3pi/2 - pi
thought so
now for some arithmetic
satellite73 (satellite73):
\[-1-7=?\]
OpenStudy (supersquidsisters):
-8
satellite73 (satellite73):
ok so far so good
now what is \[\frac{3\pi}{2}-\pi\]? (no decimals!!)
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satellite73 (satellite73):
btw now is not a good time to guess at the answer, we really do have to do all the work
OpenStudy (supersquidsisters):
2pi/3 ?? sorry if thats wrong
satellite73 (satellite73):
yeah it is wrong, dont be sorry don't let the pi's throw you
think of it as \[\frac{3}{2}-1\]
OpenStudy (supersquidsisters):
oh! that 1/2
satellite73 (satellite73):
right
so now we have \[\huge \frac{-8}{\frac{\pi}{2}}\]
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satellite73 (satellite73):
dividing by a fraction same as multiplying by the reciprocal, get \[\frac{-16}{\pi}\]
satellite73 (satellite73):
which i hope is a choice
satellite73 (satellite73):
oh, it is
whew
OpenStudy (supersquidsisters):
oh dang none of my replies are posting sorry about that. but thank you so much for your help!!!
satellite73 (satellite73):
yw
how many squid sisters are there?
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