Mathematics
Grade10
Easy
Question
Given that y varies inversely with x, if x = 7 and y = 4, what is y when x = 2 ?
- 14
- 10
- 2
- -14
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: 14
Here, x varies inversely to y.
we have, y = k/x
=>4 = ![straight k over 7](data:image/png;base64,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)
=>k = 28.
And, y =
=
= 14.
Hence, the correct option is C.
In inverse variation x1y1 = x2y2.