Question

When a number, x, is multiplied by 2, the result is squared to give a new number,y.
Express Y in terms of x

Answer 1

SOLUTION

GIVEN

When a number, x, is multiplied by 2, the result is squared to give a new number y.

TO DETERMINE

Express y in terms of x

EVALUATION

Here the given number is x

Now when x is multiplied by 2, the result is 2x

Now if the result is squared we get

$\sf{ {(2x)}^{2} }$

Then new number is y

So by the given condition

$\sf{y = {(2x)}^{2} }$

$\sf{ \implies \: y = 4{x}^{2} }$

Which is the required expression of y in terms of x

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