11. y is directly proportional to x*2 and y = a for a
particular value of x. find an expression for y in
terms of a, when this value of x is doubled.

The expression for y in terms of "a" when value of x is doubled is

Solution:

Given that,

y is directly proportional to

Therefore,

Where "k" is the constant of proportionality

y = a for particular value of x

Therefore,

--------- eqn 1

We have to find when x is doubled

x is doubled means 2x

Let it be

Hence we get,

--------- eqn 2

Substitute value of k from eqn 1, we get

Thus expression for y in terms of "a" when value of x is doubled is

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk