Katieann16
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?
Delete
Share
This Question is Closed
Mertsj
Best Response
You've already chosen the best response.
1
Can you write the joint variation equation for x y and z? Use k for the constant.
Katieann16
Best Response
You've already chosen the best response.
0
@jim_thompson5910
Mertsj
Best Response
You've already chosen the best response.
1
y=kxz
Mertsj
Best Response
You've already chosen the best response.
1
Now plug in the given values and find k.
jim_thompson5910
Best Response
You've already chosen the best response.
1
does Mertsj's response make sense?
Katieann16
Best Response
You've already chosen the best response.
0
a little, im still a little confused ..
Katieann16
Best Response
You've already chosen the best response.
0
so it would be 32m= k *5m*12m
jim_thompson5910
Best Response
You've already chosen the best response.
1
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)
Katieann16
Best Response
You've already chosen the best response.
0
4?
jim_thompson5910
Best Response
You've already chosen the best response.
1
32 = k*6*8
32 = k*48
k = ??
Katieann16
Best Response
You've already chosen the best response.
0
its 4?
jim_thompson5910
Best Response
You've already chosen the best response.
1
no it's not 4
divide both sides by 48 to solve for k
Katieann16
Best Response
You've already chosen the best response.
0
0.6?
jim_thompson5910
Best Response
You've already chosen the best response.
1
more like 0.667
but I would keep it as a fraction so k = 2/3
jim_thompson5910
Best Response
You've already chosen the best response.
1
y = kxz
y = (2/3)xz
y = (2/3)*5*12 plug in x = 5 and z = 12
y = ???
Katieann16
Best Response
You've already chosen the best response.
0
my choices are 90m, 4m, 40m, 9m
jim_thompson5910
Best Response
You've already chosen the best response.
1
5*12 is what
Katieann16
Best Response
You've already chosen the best response.
0
60
jim_thompson5910
Best Response
You've already chosen the best response.
1
now multiply that by 2
then divide that result by 3
Katieann16
Best Response
You've already chosen the best response.
0
4
jim_thompson5910
Best Response
You've already chosen the best response.
1
close, but not quite
Katieann16
Best Response
You've already chosen the best response.
0
40*
Katieann16
Best Response
You've already chosen the best response.
0
thank you(:
jim_thompson5910
Best Response
You've already chosen the best response.
1
you're welcome