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The prom committee orders an arch for the entrance to the dance floor.
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07 Apr 2021, 05:13
07 Apr 2021, 05:13
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68% (01:22) correct
31% (01:43) wrong based on 22 sessions
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The prom committee orders an arch for the entrance to the dance floor. The arch follows the equation \(y = 2x – 0.1x^2\) where y is the height of the arch, in feet.
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
Quantity A |
Quantity B |
maximum arch height |
10 feet |
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
Re: The prom committee orders an arch for the entrance to the dance floor.
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07 Apr 2021, 09:34
07 Apr 2021, 09:34
1
Solution:
In order to find the maximum arch height(y) the x should have a value which is greater when multiplied by 2 and least when multiplied by 0.1.
Now, to start somewhere I substituted x=10 as Qty B is 10
Thus Y=10
We can now substitute x=11 to get y=9.9 which is less than 10
or x=9, 18-8.1=9.9
Thus when x=10 y has the maximum value of 10
Qty A= Qty B
IMO C
Hope this helps
In order to find the maximum arch height(y) the x should have a value which is greater when multiplied by 2 and least when multiplied by 0.1.
Now, to start somewhere I substituted x=10 as Qty B is 10
Thus Y=10
We can now substitute x=11 to get y=9.9 which is less than 10
or x=9, 18-8.1=9.9
Thus when x=10 y has the maximum value of 10
Qty A= Qty B
IMO C
Hope this helps
Re: The prom committee orders an arch for the entrance to the dance floor.
[#permalink]
08 Apr 2021, 02:22
08 Apr 2021, 02:22
are you sure this is gre question because to solve question require differentiation...
