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

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The relationship between the weight W in pounds and the height H in in  [#permalink]

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New post 05 Jul 2018, 00:52
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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
Spoiler: OA

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Re: The relationship between the weight W in pounds and the height H in in  [#permalink]

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New post 05 Jul 2018, 01:09
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
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The relationship between the weight W in pounds and the height H in in  [#permalink]

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New post 05 Jul 2018, 01:14
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
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Re: The relationship between the weight W in pounds and the height H in in  [#permalink]

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New post 07 Jul 2018, 18:32
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
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Re: The relationship between the weight W in pounds and the height H in in  [#permalink]

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New post 07 Jul 2018, 22:16
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
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Re: The relationship between the weight W in pounds and the height H in in  [#permalink]

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New post 08 Jul 2018, 04:19
=>

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
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