Question

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

Answer 1

Step-by-step explanation:

Given that y varies inversely as x, we have:

`\begin{gathered} y\propto(1)/(x) \\ \\ \Rightarrow y=(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