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27 Jun 2018, 01:59
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A
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Difficulty:
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Question Stats:
59% (01:21) correct
41%
(01:31)
wrong
based on 139
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[GMAT math practice question]
The relationship between the cost (c) and time (t) is given by the equation \(c=mt+b\). If the time is increased by \(10\), by how many dollars is the cost increased?
\(1) m=20\)
\(2) b=30\)
The relationship between the cost (c) and time (t) is given by the equation \(c=mt+b\). If the time is increased by \(10\), by how many dollars is the cost increased?
\(1) m=20\)
\(2) b=30\)
27 Jun 2018, 02:58
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In My Opinion Answer should be E
We are not given the initial amount of t
if t=10 then 10% increase leads to t=11
if t=100 then 10% increase leads to t=110
This day is full of confusions, I missed several concepts I thought I've already mastered
We are not given the initial amount of t
if t=10 then 10% increase leads to t=11
if t=100 then 10% increase leads to t=110
This day is full of confusions, I missed several concepts I thought I've already mastered
27 Jun 2018, 03:30
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MathRevolution
Original cost = \(mt+ b\).
When the time increases by 10, we get:
New cost = \(m(t+10) + b = mt + 10m + b\).
Thus:
Increase in the cost = new cost - original cost = \((mt + 10m + b) - (mt + b) = 10m\).
To determine the increase in the cost, we need to know the value of \(m\).
Question stem, rephrased:
What is the value of \(m\)?
Statement 1: \(m=20\)
SUFFICIENT.
Statement 2: \(b=10\)
No information about m.
INSUFFICIENT.
