y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m.
What is the value of y when x = 5 m and z = 12 m?
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OpenStudy (mertsj):
Can you write the joint variation equation for x y and z? Use k for the constant.
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (mertsj):
y=kxz
OpenStudy (mertsj):
Now plug in the given values and find k.
jimthompson5910 (jim_thompson5910):
does Mertsj's response make sense?
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OpenStudy (anonymous):
a little, im still a little confused ..
OpenStudy (anonymous):
so it would be 32m= k *5m*12m
jimthompson5910 (jim_thompson5910):
y = kxz
we're given y = 32 m, x = 6 m, and z = 8 m
plug all this in to get
32 = k*6*8
now solve for k
Note: I think we can ignore the m's because I think they refer to meters (eg: x = 6 m means x is 6 meters long)
OpenStudy (anonymous):
4?
jimthompson5910 (jim_thompson5910):
no
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jimthompson5910 (jim_thompson5910):
32 = k*6*8
32 = k*48
k = ??
OpenStudy (anonymous):
its 4?
jimthompson5910 (jim_thompson5910):
no it's not 4
divide both sides by 48 to solve for k
OpenStudy (anonymous):
0.6?
jimthompson5910 (jim_thompson5910):
more like 0.667
but I would keep it as a fraction so k = 2/3
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jimthompson5910 (jim_thompson5910):
y = kxz
y = (2/3)xz
y = (2/3)*5*12 plug in x = 5 and z = 12
y = ???
OpenStudy (anonymous):
my choices are 90m, 4m, 40m, 9m
jimthompson5910 (jim_thompson5910):
5*12 is what
OpenStudy (anonymous):
60
jimthompson5910 (jim_thompson5910):
now multiply that by 2
then divide that result by 3
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OpenStudy (anonymous):
4
jimthompson5910 (jim_thompson5910):
close, but not quite
OpenStudy (anonymous):
40*
jimthompson5910 (jim_thompson5910):
yep
OpenStudy (anonymous):
thank you(:
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