If y varies inversely as x, and y = 1 when x = 4, find the y when x = 18
5
2006-12-28 13:54:33 · 8 answers · asked by shawntaelsey123 1 in Science & Mathematics ➔ Mathematics
Sure!
2006-12-28 14:03:51 · answer #1 · answered by .40 Glock 3 · 0⤊ 1⤋
y varies inversely with x means that y and x satisfy the following:
y = k/x
Where k is yet to be determined. Since we know that y = 1 when x = 4, we can solve for k:
1 = k/4
k = 4
So now we know the equation relating y and x is:
y = 4/x
Then plugging in 18 for x, we find that y is:
y = 4/18 = 2/9
2006-12-28 13:56:24 · answer #2 · answered by Jim Burnell 6 · 0⤊ 1⤋
y varies inversely as x
That means that y = k/x, where k is some constant.
When y = 1, x = 4
y = k/x
1 = k/4
k = 4
When x = 18,
y = k/x
y = 4/18
y = 2/9
2006-12-28 14:05:53 · answer #3 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
y varies inversely as x
therefore y=k/x,where k is a constant.
Now it is given that when y=1,x is equal to 4
or 1=k/4
By cross-multiplication we ger k=4
Therefore,when x=18,y=k/18=4/18=2/9 ans.
2006-12-28 15:57:44 · answer #4 · answered by alpha 7 · 0⤊ 0⤋
If two variables vary inversely, then y1*x1 = y2*x2
SO, 1*4 = y2*18
4=18y
y= 2/9
2006-12-28 14:02:47 · answer #5 · answered by Sephisabin 3 · 0⤊ 0⤋
.222
2006-12-28 14:11:01 · answer #6 · answered by The Buckeye Boy 1 · 0⤊ 1⤋
(1)(4)=y(18)
4=18y
y=4.5
2006-12-28 14:02:42 · answer #7 · answered by camm300 4 · 0⤊ 2⤋
inversly means the product between x and y are same....
...soo...try and figure it out...do the math yourself
2006-12-28 13:59:56 · answer #8 · answered by SJ9867 3 · 1⤊ 1⤋