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In the equation above, k is a constant. If y = 17 when x = 2

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In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 01 Oct 2012, 05:07
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

y = kx + 3

In the equation above, k is a constant. If y = 17 when x = 2, what is the value of y when x = 4 ?

(A) 34
(B) 31
(C) 14
(D) 11
(E) 7

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Difficulty: 600


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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 01 Oct 2012, 05:08
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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 01 Oct 2012, 05:17
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y = kx + 3 is the equation of the slope but in this context the question is different

y = K * 2 + 3to have y = 17 then K must be 7

17 = 7*2 + 3

y = 7*4 + 3 ---> y = 31

B must be the answer. Sub 600

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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 01 Oct 2012, 19:53
Answer is B.
Same explanation as Carcass's
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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 04 Oct 2012, 00:43
Answer is B (=31)

Explanation is same as provided by Carcass above.
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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 04 Oct 2012, 02:47
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1) Put y =17 and x=2 and solve for K
2) Knowing k=7 from above and x=4 solve for Y ------> Y=31

Answer is B
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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 04 Oct 2012, 14:14
SOLUTION

y = kx + 3

In the equation above, k is a constant. If y = 17 when x = 2, what is the value of y when x = 4 ?


(A) 34
(B) 31
(C) 14
(D) 11
(E) 7

Since if y = 17 when x = 2, then 17 = 2k + 3 --> k=7.

Thus, y = 7x + 3. When x=4, y = 7*4 + 3=31.

Answer: B.

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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 05 Oct 2012, 03:23
1 st step : solve given eqn for K by putting values of x and y. u get k=7
snd step : now put banck value of k=7 and x=4 in given eqn and solve for y.
you get y=31

so Y=31 answer
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Re: In the equation above, k is a constant. If y = 17 when x = 2 [#permalink] New post 10 Dec 2012, 04:47
y = kx + 3
17 = k(2) + 3 --> 14 = 2k --> k=7

y = (7)(4) + 3 --> y = 31

Answer: B
Re: In the equation above, k is a constant. If y = 17 when x = 2   [#permalink] 10 Dec 2012, 04:47
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