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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## The graphs of y=7x+1 and y=kx^3 are represented in the figur tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## The graphs of y=7x+1 and y=kx^3 are represented in the figur ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 13) The graphs of y=7x+1 and y=kx^3 are represented in the figure shown (k is a constant). If line AB is parallel to the x-axis, what is the abscissa (x-coordinate) of point B? (A) 1 (B) 0.75 (C) 0.5 (D) 0.25 (E) 0.125 Answer: ___(C)__ _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 13) The graphs of y=7x+1 and y=kx^3 are represented in the figure shown (k is a constant). If line AB is parallel to the x-axis, what is the abscissa (x-coordinate) of point B? (A) 1 (B) 0.75 (C) 0.5 (D) 0.25 (E) 0.125 $$? = m$$ $$C = \left( {c,8} \right) \in {\rm{line}}\,\,\,\,\, \Rightarrow \,\,\,\,\,8 = 7 \cdot c + 1\,\,\,\,\, \Rightarrow \,\,\,\,\,c = 1$$ $$C = \left( {c,8} \right) = \left( {1,8} \right) \in {\rm{cubic}}\,\,\,\,\, \Rightarrow \,\,\,\,\,8 = k \cdot {1^3}\,\,\,\,\, \Rightarrow \,\,\,\,\,k = 8$$ $$A = \left( {0,n} \right) \in {\rm{line}}\,\,\,\,\, \Rightarrow \,\,\,\,\,n = 7 \cdot 0 + 1\,\,\,\,\, \Rightarrow \,\,\,\,\,n = 1$$ $$B = \left( {m,n} \right) = \left( {m,1} \right) \in {\rm{cubic}}\,\,\,\,\,\mathop \Rightarrow \limits^{k\, = \,8} \,\,\,\,\,1 = 8 \cdot {m^3}$$ $$? = m = \root 3 \of {{1 \over 8}} = \root 3 \of {{{\left( {{1 \over 2}} \right)}^3}} = {1 \over 2}$$ The correct answer is (C). We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • FREE GMAT Exam Know how you'd score today for$0

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