Question

Help with 6 a and b please

Answer 1

a)
`y=(50)/(x)`

b)
`y=25` when
`x=2`

Explanation:

`y=(k)/(x)` since y varies inversely with x.

We need to find the constant, k.

Let's use a point (x,y) on the curve.

We are given an (x,y)=(5,10):

`10=(k)/(5)`

Multiply both sides by 5:

`10(5)=k`

`50=k`.

So the equation is:

`y=(50)/(x)`

What is y when x=2?

`y=(50)/(2)`

`y=25`