If $y$ varies inversely as $x$ , and when $x$ equals $4$ , $y$ is $2$ . What is the value of $x$ when $y$ is $0.5$ ?

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Official Explanation

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Since y varies inversely as x, we can express this relationship as

y = \frac{k}{x}

. Given that when x is 4, y is 2, we can find k:

2 = \frac{k}{4}

, which leads to [m]k…

Comments

ArthurJan 23, 2025

appreciated!

SanyaMar 22, 2024

Great

What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.