Question

V varies inversely with T and V = 14 when T = 7. Which equation shows this relationship?

Answer 1

`V*T=98`

Explanation:

If `V` varies inversely as `T` then
`color(white)("XXX")color(red)(V)*color(blue)(T)=c` for some constant `c`

We are told `color(red)(V=14)` when `color(blue)(T=7)`
So
`color(white)("XXX")color(red)(14)*color(blue)(7)=c`

`color(white)("XXX")rArr c= 98`

and
`color(white)("XXX")V*T=98`