JAMB Mathematics 2024 Paper

Concept:Inverse proportion means that as one variable increases, the other decreases. The product of the two variables is constant.Explanation:Since $y$ is inversely proportional to $x$, we can write $y \propto \frac{1}{x}$.This gives the equation $y = \frac{k}{x}$, where $k$ is the constant of proportionality.Substitute the given values $y = 4$ and $x = \frac{1}{2}$ into the equation.So, $4 = \frac{k}{\frac{1}{2}}$.Multiply both sides by $\frac{1}{2}$ to get $k = 4 \times \frac{1}{2} = 2$.Now, we need to find $x$ when $y = 10$.Using $y = \frac{k}{x}$, we have $10 = \frac{2}{x}$.Multiply both sides by $x$: $10x = 2$.Divide both sides by 10: $x = \frac{2}{10} = \frac{1}{5}$.Answer:$x = \frac{1}{5}$, which is option C.