If x is inversely proportional to y, and y = 30 when x = 28, find the value of x, when y = 20.

Question

Prepp Team · Accepted Answer

Inverse Proportionality Relationship

The statement 'x is inversely proportional to y' means their product is a constant value, $k$. This can be written as:

$x \propto \frac{1}{y} \implies xy = k$

Using the first set of values ($x = 28$ when $y = 30$), we calculate the constant $k$.

$k = x \times y$

$k = 28 \times 30$

$k = 840$

Now, we find the value of $x$ when $y = 20$, using the calculated constant $k = 840$.

$x \times y = k$

$x \times 20 = 840$

To solve for $x$, divide $k$ by $y$:

$x = \frac{840}{20}$

$x = 42$

Therefore, the value of $x$ when $y = 20$ is $42$.

Prepp Team · Answer

33

Prepp Team · Answer

52

Prepp Team · Answer

38