Question

y varies inversely as x. If x = 7 then y = 5. Find y when x = 8.

Answer 1

Answer:

Explanation:

Given that y varies inversely as x, we have:

$\begin{gathered} y\propto\frac{1}{x} \\ \\ \Rightarrow y=\frac{k}{x} \\ \\ OR \\ yx=k \\ \text{where k is the constant of proportionality} \end{gathered}$

SInce x = 7 whe y = 5, we can find k

k = 7*5 = 35

so

yx = 35

To find y