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8x-5
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25 Apr 2021, 11:39
25 Apr 2021, 11:39
Expert Reply
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Question Stats:
64% (01:18) correct
35% (00:37) wrong based on 17 sessions
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Quantity A |
Quantity B |
\(8x-5\) |
\(x^2+16 \) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: 8x-5
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26 Apr 2021, 05:35
26 Apr 2021, 05:35
1
Carcass wrote:
Quantity A |
Quantity B |
\(8x-5\) |
\(x^2+16 \) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Check with some values which are distant;
When \(x = 0\), Col. A < Col. B
When \(x = 10\), Col. A < Col. B
When \(x = -10\), Col. A < Col. B
Hence, option B
We can also plot the graph of these equations and notice that \(y = x^2 + 16\) (Parabola) will always have a greater output value than \(y = 8x - 5\) (Line)
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