Question

A quantity a varies inversely as a quantity b, if, when b changes, a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Answer 1

d

Explanation:

Answer 2

if the quantity b doubles, then a becomes half

Explanation:

A quantity a varies inversely as a quantity b.

⇒
`a \propto (1)/(b)`

⇒
`a = (k)/(b)` where, k is constant

When b changes, a changes in the inverse ratio i.e,

• When b increases, a decrease.

• When b decreases, a increase.

We have to find what happens to the quantity a if the quantity b doubles.

If the quantity b doubles.

then;

`a = (k)/(2b)`

⇒the quantity a become half