Respuesta :
The expression for y in terms of "a" when value of x is doubled is [tex]y_1=4a[/tex]
Solution:
Given that,
y is directly proportional to [tex]x^2[/tex]
Therefore,
[tex]y \propto x^2[/tex]
[tex]y = kx^2[/tex]
Where "k" is the constant of proportionality
y = a for particular value of x
Therefore,
[tex]a=kx^2[/tex] --------- eqn 1
We have to find when x is doubled
x is doubled means 2x
Let it be [tex]y_1[/tex]
Hence we get,
[tex]y_1=k(2x)^2\\\\y_1=k \times 4x^2[/tex] --------- eqn 2
Substitute value of k from eqn 1, we get
[tex]y_1=\frac{a}{x^2} \times 4x^2\\\\y_1=4a[/tex]
Thus expression for y in terms of "a" when value of x is doubled is [tex]y_1=4a[/tex]
