Mathematics
Grade10
Easy
Question
In an inverse variation, x = 6 and y =
. What is the equation that represents the inverse variation?
- y =
x - y =
![3 over straight x](data:image/png;base64,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)
- y = -
![2 over straight x](data:image/png;base64,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)
- y =
x
Hint:
Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
The correct answer is: y = ![3 over straight x](data:image/png;base64,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)
Here, we are given that in an inverse variation, x = 6 and y = 1/2.
We have to find the relation between x and y.
We have, y = ![straight k over straight x](data:image/png;base64,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)
=>
= k/6
=> k = 3.
Equation: y =
.
Hence, the correct option is B.
We can also take the relation as xy = k instead of y = k/x, where k is a constant.