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If f(x, y) = x2y and f(a, b) = 6, what is f(2a, 4b)?

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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If f(x, y) = x2y and f(a, b) = 6, what is f(2a, 4b)? [#permalink] New post 30 Jul 2018, 10:13
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Question Stats:

66% (00:39) correct 33% (01:40) wrong based on 6 sessions
If \(f(x, y) = x^2y\)and \(f(a, b) = 6\), what is \(f(2a, 4b)\)?

[Reveal] Spoiler: OA
96

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Re: If f(x, y) = x2y and f(a, b) = 6, what is f(2a, 4b)? [#permalink] New post 05 Aug 2018, 17:09
someone please explain?
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Re: If f(x, y) = x2y and f(a, b) = 6, what is f(2a, 4b)? [#permalink] New post 06 Aug 2018, 20:44
kruttikaaggarwal wrote:
someone please explain?


Sure thing.

The equations we are given is that \(f(x,y) = x^2 y\) and \(f(a,b) = 6\) in order to find out \(f(2a,4b)\).

Using the first equation, we can change \(f(2a,4b)\) into another form. \((2a)^2 * 4b\)

\((2a)^2 * 4b\)

\(4 * a^2 * 4 * b\)

\(16 * a^2 b\) (does this \(a^2 b\) look familiar? it's the second equation we were given, so we can substitute this value for 6)

\(16 * 6 = 96\)

There's your answer
GMAT Club Legend
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Joined: 07 Jun 2014
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Re: If f(x, y) = x2y and f(a, b) = 6, what is f(2a, 4b)? [#permalink] New post 12 Aug 2018, 07:00
Expert's post
Explanation

The problem provides the function \(f(x, y) = x^2y\) and also the fact that when a and b are plugged in for x and y, the answer is 6. In other words:

\(f(x, y) = x^2y\)

\(f(a, b) = a^2b = 6\)

The problem asks for the value of f(2a,4b). First, plug 2a in for x and 4b in for y:

\(f(2a, 4b) = (2a)^2(4b)\)

\(f(2a, 4b) = 4a^2(4b)\)

\(f(2a, 4b) = 16a^2b\)

The problem already provides the value for the variables: a2b = 6. Therefore, \(16a^2b = 16(6) = 96\).
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Re: If f(x, y) = x2y and f(a, b) = 6, what is f(2a, 4b)?   [#permalink] 12 Aug 2018, 07:00
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