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11 Mar 2020, 04:42
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Cost is expressed by the formula tb^4. If b is doubled and t remains the same, the new cost is how many times greater than the original cost?
(A) 1.2
(B) 2
(C) 6
(D) 8
(E) 16
(A) 1.2
(B) 2
(C) 6
(D) 8
(E) 16
drdprajapati1987
Joined: 06 Aug 2018
Last visit: 25 May 2022
Posts: 14
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Given Kudos: 135
Location: India
Schools: ISB'22 (WL)
GMAT 1: 660 Q48 V32
11 Mar 2020, 05:01
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C1= tb^4
Let B be new variable
therfore B= 2b
C2 = t B^4
= t (2b) ^4
= t · 16 · b^4
hence ---E
Posted from my mobile device
Let B be new variable
therfore B= 2b
C2 = t B^4
= t (2b) ^4
= t · 16 · b^4
hence ---E
Posted from my mobile device
11 Mar 2020, 10:20
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Bunuel
Cost is expressed by the formula tb^4. If b is doubled and t remains the same, the new cost is how many times greater than the original cost?
(A) 1.2
(B) 2
(C) 6
(D) 8
(E) 16
(A) 1.2
(B) 2
(C) 6
(D) 8
(E) 16
\(C = tb^4\)
Plug in and check
\(t = 1\) & \(b = 2\)
So, \(C = 1*2^4\)
Or, \(C = 1*16\)
Or, \(C = 16\)
Quote:
b is doubled and t remains the same
\(b = 4\) & \(t = 1\)
So, \(C = 1*4^4\)
Or, \(C = 1*256\)
Or, \(C = 256\)
Quote:
how many times greater than the original cost?
Or, \(\frac{256}{16}\)
Or, 16 , Answer must be (E)
