Graphs of rational functions help! will medal 2 questions
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OpenStudy (jessicawade):
need help with these questions! can you help me?
1. Write a specific formula to describe the variation: x varies inversely with the square of y; x = 6 when y = 4.
8.Write a general formula to describe the variation: x varies inversely with the cube of y.
OpenStudy (dumbcow):
inverse variation means as one thing goes up the other goes down
the functions will be fractions, one will be in the denominator
1) let y^2 be in denominator
\[x = \frac{k}{y^2}\] solve for "k" using given point
6 = k/16 ---> k = 96
OpenStudy (jessicawade):
ok
OpenStudy (jessicawade):
\[x= -96/ \sqrt y\]
OpenStudy (jessicawade):
wait wrong
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OpenStudy (jessicawade):
\[x= 96 \over y^2\]
OpenStudy (jessicawade):
@dumbcow
OpenStudy (dumbcow):
yes correct
OpenStudy (jessicawade):
Thanks :)
OpenStudy (dumbcow):
for 8) the general formula just leave the unknown constant "k"
x = k/y^3
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OpenStudy (jessicawade):
ohhh so its x= k/y^3?
OpenStudy (dumbcow):
for the 2nd question yes
OpenStudy (jessicawade):
yay! thanks
OpenStudy (jessicawade):
i get the words mixed up sometimes but 8 was obvious -_-
OpenStudy (dumbcow):
haha :)
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OpenStudy (jessicawade):
ok i have 1 more question if that is ok
OpenStudy (jessicawade):
Suppose that the time it takes to do a job is inversely proportional to the number of workers. That is, the more workers on the job the less time required to complete the job. If it takes 3 workers 16 days to finish a job, how long will it take 8 workers?