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MathRevolution
[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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[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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=>

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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