Mathematics
Grade10
Easy
Question
If x and y vary inversely and x = 3 when y =
, what is the value of y when x = -1 ?
- -2
![1 third](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAKNJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLcATibUD8DYh/APEtIJ4AxMKkGrQfiIOAmA1JzACId1DLpZ+oYYgSEN+gxABxIE6EhpMXNbJMAaVeEgTiACA+CcT21AgjHqhhVAE/qGGIHjTASQIHgTgUiFmAmAma0u8DcTypBtkC8RaoV35AU7oPPg0ArQs4erRAu/EAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MzwvbW4+PC9tZnJhYz48L21hdGg+q+QgMwAAAABJRU5ErkJggg==)
- -
![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
- -1
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: -2
Here, we have to find the value of y given that x and y are in inverse variation.
We have, y = k/x
=>
= ![straight k over 3](data:image/png;base64,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)
=>k = 2.
Now, y =
=
=
= -2
Hence, the value of y is -2.
The correct option is B.
In inverse variation, xy = k for some constant k.