If y varies inversely as x and y =40 when x=5, what is the constant?

gwestaikd4

Answered question

2023-01-16

If y varies inversely as x and y =40 when x=5, what is the constant?

Answer & Explanation

peannreu

Beginner2023-01-17Added 10 answers

So solution: $\text{the initial statement is}\text{}y\propto \frac{1}{x}$ $\text{The constant must be multiplied by k to create an equation.}$ $\text{of variation}$ $\Rightarrow y=k\times \frac{1}{x}=\frac{k}{x}$ $\text{Use the specified condition to find k.}$ $y=40\text{}\text{when}\text{}x=5$ $y=\frac{k}{x}\Rightarrow k=yx=40\times 5=200$