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Mathematics

Grade10

Easy

Question

In the inverse variation , x = -8 when y = - $1 fourth$ . What is the value of y when x = 4 ?

$\frac{1}{8}$
-2
$\frac{1}{2}$
- $\frac{1}{4}$

hint 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: $1 half$

We have to find the value of y when x is 4.
We have, y = $straight k over straight x$
=>- $1 fourth$ = $fraction numerator straight k over denominator left parenthesis negative 8 right parenthesis end fraction$
=>k = 2.
So, y = $2 over straight x$ = $2 over 4$ = $1 half$ .
Hence, the correct option is B.

In inverse variation, we have x₁y₁= x₂y_2.

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