Assume y varies inversely as x. If y = 24 when x = 3, what is y when x = 8?
回答 (14)
2008-06-17 3:46 pm
✔ 最佳答案
y = n/x24 = n/3
n = 72
y = 72/8
y = 9
2008-06-17 4:03 pm
y = n/x
24 = n/3
n = 24(3)
n = 72
When x = 8 , y equals:
y = n/x
y = 72/8
y = 9
24 = n/3
n = 24(3)
n = 72
When x = 8 , y equals:
y = n/x
y = 72/8
y = 9
2008-06-17 3:53 pm
y=k/x
substitute your 2 given variables
24=k/3
k=72
substitute your 1 known variable to find the other
y=72/8
y=9
substitute your 2 given variables
24=k/3
k=72
substitute your 1 known variable to find the other
y=72/8
y=9
2008-06-17 3:43 pm
When something varies inversely with something else (in this case x and y) it means that as x gets larger y gets smaller to maintain a constant value (k) and vice versa. Therefore y is going to be multiplied to x.
k=y*x and k=y*x given
y*x=y*x transitive property of equality
24*3=y*8 substitute the values for x and y
72=y*8 simplify 24*3 on left side
72/8=y divide by 8 on both sides to get rid of the 8 on the right
9=y Answer
k=y*x and k=y*x given
y*x=y*x transitive property of equality
24*3=y*8 substitute the values for x and y
72=y*8 simplify 24*3 on left side
72/8=y divide by 8 on both sides to get rid of the 8 on the right
9=y Answer
2008-06-17 3:43 pm
y=k/x
k=24*3=72.
hence if x = 8, y = 9.
k=24*3=72.
hence if x = 8, y = 9.
參考: constants and reciprocal relationships.
2008-06-17 3:39 pm
y varies inversely as x
y= k /x , where k is a constant
y=24 when x=3
24 = k / 3
k=(24)(3) =72
So, y= 72 / x
when x=8,
y= 72 / 8 = 9
y= k /x , where k is a constant
y=24 when x=3
24 = k / 3
k=(24)(3) =72
So, y= 72 / x
when x=8,
y= 72 / 8 = 9
2008-06-17 3:37 pm
y varying inversely as x means that y equals a constant times 1/x.
Let C be the constant, so we have the relationship:
y = C/x
Cross multiplying, you see that the product x*y should always be equal to C.
xy = C
We are given that when y = 24, x = 3, so we can solve for the constant C.
xy = C = 24*3 = 72, C =72
To solve for what y is, when x = 8, simply input 8 in place of x in the equation:
x*y = C
8*y = 72
y = 9
Let C be the constant, so we have the relationship:
y = C/x
Cross multiplying, you see that the product x*y should always be equal to C.
xy = C
We are given that when y = 24, x = 3, so we can solve for the constant C.
xy = C = 24*3 = 72, C =72
To solve for what y is, when x = 8, simply input 8 in place of x in the equation:
x*y = C
8*y = 72
y = 9
2008-06-17 3:34 pm
1
2008-06-17 3:34 pm
x = 3 and y = 24...
when x = 8,
y = 8/3 x 24
y = 8(8)
y = 64
when x = 8,
y = 8/3 x 24
y = 8(8)
y = 64
2008-06-17 3:56 pm
9 is the correct answer because y varies INVERSELY as x so what you do is this
3/8 x 24=9
3/8 x 24=9
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