Question

Complete the equation of variation where y varies inversely as x and y = 80 when x = 0.7.

Answer 1

y varies inversely with x
means that y=k/x
with x=0.7 and y=80
we have 80=k/0.7
k=0.7x80=56
so the equation is
y=56/x

Answer 2

`y=(56)/(x)`

Explanation:

We are given that y varies inversely with x.

y=80 when x=0.7

We have to write complete equation of variation

According to question

`y\propto (1)/(x)`

`y=(k)/(x)`

Where k=proportionality constant

Substitute the values then we get

`80=(k)/(0.7)`

using multiplication property of equality

`k=80* 0.7=56`

Therefore, the equation is given by

`y=(56)/(x)`