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# Given the figure, what is y2?

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Given the figure, what is y2?  [#permalink]

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21 Oct 2017, 08:36
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Difficulty:

25% (medium)

Question Stats:

63% (00:41) correct 37% (00:40) wrong based on 27 sessions

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Given the figure, what is y2?

(1) y1 is 1.5

(2) x1 is -2

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Given the figure, what is y2?  [#permalink]

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21 Oct 2017, 08:51
1
Given the figure, what is y2?

(1) y1 is 1.5

(2) x1 is -2

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

to calculate the value of $$y_2$$, we need equation of the line which will be of the form $$y=mx+c$$

so we need the values of $$m$$ & $$c$$

Statement 1: implies $$1.5=0+c$$ (at $$x=0$$)

so the equation of the line is $$y=mx+1.5$$, but we cannot calculate $$m$$ from this information. Insufficient

Statement 2: $$0=-2m+c$$ (substituting the value of $$x_1$$ & $$y_1$$). from this we cannot calculate $$m$$ & $$c$$. Insufficient

Combining 1 & 2, we get $$2m=1.5$$ so $$m=\frac{1.5}{2}$$

so equation of the line $$y=\frac{1.5}{2}x+1.5$$ $$=> 2y=1.5x+3$$

so the value of $$y_2$$ can be calculated by substituting the value of $$x_2=5$$ in the above equation. Sufficient

Option C
Given the figure, what is y2? &nbs [#permalink] 21 Oct 2017, 08:51
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