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The relationship between the weight W in pounds and the height H in in

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6639
GMAT 1: 760 Q51 V42
GPA: 3.82
The relationship between the weight W in pounds and the height H in in  [#permalink]

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04 Jul 2018, 23:52
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5% (low)

Question Stats:

93% (01:08) correct 7% (01:11) wrong based on 38 sessions

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[GMAT math practice question]

The relationship between the weight W in pounds and the height $$H$$ in inches of an object is given by the equation, $$W = 110 +5*(H-60)$$. If the height is increased by $$10$$ inches, by how much does the weight increase?

A. 30 pounds
B. 40 pounds
C. 50 pounds
D. 60 pounds
E. 70 pounds

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 13 Feb 2018 Posts: 135 Re: The relationship between the weight W in pounds and the height H in in [#permalink] Show Tags 05 Jul 2018, 00:09 I picked some quick numbers Let's say H=60 then W=110+5(60-60)=110 Now increase H by 10 inches: H=70 W=110+5(70-60)=160 160-110=50 In My Opinion Ans: C Director Status: Learning stage Joined: 01 Oct 2017 Posts: 931 WE: Supply Chain Management (Energy and Utilities) The relationship between the weight W in pounds and the height H in in [#permalink] Show Tags 05 Jul 2018, 00:14 MathRevolution wrote: [GMAT math practice question] The relationship between the weight W in pounds and the height $$H$$ in inches of an object is given by the equation, $$W = 110 +5*(H-60)$$. If the height is increased by $$10$$ inches, by how much does the weight increase? A. 30 pounds B. 40 pounds C. 50 pounds D. 60 pounds E. 70 pounds The only difference when H becomes H+10 is:- 5*(H-60)-5(H+10-60)=300-250=50 (Since 110 is constant) Ans. C _________________ Regards, PKN Rise above the storm, you will find the sunshine Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4295 Location: United States (CA) Re: The relationship between the weight W in pounds and the height H in in [#permalink] Show Tags 07 Jul 2018, 17:32 MathRevolution wrote: [GMAT math practice question] The relationship between the weight W in pounds and the height $$H$$ in inches of an object is given by the equation, $$W = 110 +5*(H-60)$$. If the height is increased by $$10$$ inches, by how much does the weight increase? A. 30 pounds B. 40 pounds C. 50 pounds D. 60 pounds E. 70 pounds We can let the height H be 100, so the weight W would be 110 + 5*(100 - 60) = 110 + 200 = 310 pounds. Since the height is increased by 10 inches, the height now is 110, so the weight now is W = 110 + 5(110 - 60) = 110 + 250 = 360 pounds. We see that the weight is increased by 50 pounds. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4277 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: The relationship between the weight W in pounds and the height H in in [#permalink] Show Tags 07 Jul 2018, 21:16 MathRevolution wrote: [GMAT math practice question] The relationship between the weight W in pounds and the height $$H$$ in inches of an object is given by the equation, $$W = 110 +5*(H-60)$$. If the height is increased by $$10$$ inches, by how much does the weight increase? A. 30 pounds B. 40 pounds C. 50 pounds D. 60 pounds E. 70 pounds Let initial height be $$0$$, So Initial Weight is $$W = 110 + 5*-60$$ Or, $$W = -190$$ If Height becomes 10 ; Weight is $$W = 110 + 5*-50$$ Or, $$W = -140$$ So, Weight increases by 50, Answer must be (C) 50 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6639 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The relationship between the weight W in pounds and the height H in in [#permalink] Show Tags 08 Jul 2018, 03:19 => From $$W = 110 +5*(H-60)$$, we have $$W = 5H – 190$$, which is the equation of a line of slope $$5$$. Since the slope is the ratio of the increase in the weight to that of the height, the weight is increased by $$50$$ when the height is increased by $$10$$. 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$99 for 3 month Online Course"
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Re: The relationship between the weight W in pounds and the height H in in &nbs [#permalink] 08 Jul 2018, 03:19
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