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# f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v  [#permalink]

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29 Jan 2019, 01:02
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15% (low)

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82% (01:21) correct 18% (01:27) wrong based on 41 sessions

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[GMAT math practice question]

$$f(x)$$ has the properties, $$f(x+y) = x + f(y)$$ and $$f(0) = 5$$. What is the value of $$f(100)$$?

$$A. 95$$
$$B. 100$$
$$C. 105$$
$$D. 120$$
$$E. 135$$

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Joined: 27 May 2012 Posts: 898 Re: f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v [#permalink] ### Show Tags 29 Jan 2019, 01:10 1 MathRevolution wrote: [GMAT math practice question] $$f(x)$$ has the properties, $$f(x+y) = x + f(y)$$ and $$f(0) = 5$$. What is the value of $$f(100)$$? $$A. 95$$ $$B. 100$$ $$C. 105$$ $$D. 120$$ $$E. 135$$ Can be written as f(100+0) = 100 +f(0) -> 100+5 = 105. Ans=c _________________ - Stne GMAT Club Legend Joined: 18 Aug 2017 Posts: 4976 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v [#permalink] ### Show Tags 29 Jan 2019, 03:18 MathRevolution wrote: [GMAT math practice question] $$f(x)$$ has the properties, $$f(x+y) = x + f(y)$$ and $$f(0) = 5$$. What is the value of $$f(100)$$? $$A. 95$$ $$B. 100$$ $$C. 105$$ $$D. 120$$ $$E. 135$$ f(0)= o+f(y) given f(0) =5 5=f(y) so f(100) = 100+f(y) f(100)= 100+5 = 105 IMO C _________________ If you liked my solution then please give Kudos. Kudos encourage active discussions. CEO Joined: 12 Sep 2015 Posts: 3990 Location: Canada Re: f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v [#permalink] ### Show Tags 29 Jan 2019, 07:07 Top Contributor 1 MathRevolution wrote: [GMAT math practice question] $$f(x)$$ has the properties, $$f(x+y) = x + f(y)$$ and $$f(0) = 5$$. What is the value of $$f(100)$$? $$A. 95$$ $$B. 100$$ $$C. 105$$ $$D. 120$$ $$E. 135$$ Given: f(x+y) = x + f(y) What is the value of f(100)? We need to somehow use the fact that f(0) = 5 to help us determine the value of f(100). Notice that we can rewrite 100 as 100 + 0 According to our the function f, we know that: f(100 + 0) = 100 + f(0) = 100 + 5 = 105 Answer: C Cheers, Brent _________________ Test confidently with gmatprepnow.com Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7999 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v [#permalink] ### Show Tags 31 Jan 2019, 02:15 => Using $$f(x +y ) = x + f(y)$$ yields $$f(x) = f(x+0) = x + f(0)$$ Now, using $$f(0) = 5$$ yields $$f(x) = x + 5.$$ Therefore, $$f(100) = 100 + 5 = 105.$$ Therefore, the answer is C. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v   [#permalink] 31 Jan 2019, 02:15
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# f(x) has the properties, f(x+y) = x + f(y) and f(0) = 5. What is the v

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