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The function f is defined by f (x) = 5x + 1 for all numbers

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The function f is defined by f (x) = 5x + 1 for all numbers [#permalink] New post 05 Mar 2017, 08:55
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Question Stats:

84% (00:30) correct 15% (00:46) wrong based on 32 sessions


The function f is defined by f (x) = 5x + 1 for all numbers x.

Quantity A
Quantity B
f(t + 54) - f(t + 50)
20


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The function f is defined by f (x) = 5x + 1 for all numbers [#permalink] New post 11 Mar 2017, 17:09
Expert's post
Explanation

Finding \(f (t + 54)\):
\(f(x) = 5x + 1\)
\(f(t + 54) = 5(t + 54) + 1\)
\(f(t + 54) = 5t + 270 + 1\)
\(f (t + 54) = 5t + 271\)

Now finding \(f (t + 50)\):

\(f(x) = 5x + 1\)
\(f (t + 50) = 5(t + 50) + 1\)
\(f (t + 50) = 5t + 250 + 1\)
\(f (t + 50) = 5t + 251\)

Now finding \(f (t + 54) - f (t + 50)\):

\(f (t + 54) - f (t + 50)\)

\(=(5t + 271) - (5t + 251)\)

\(=(5t + 271) - 5t - 251\)
\(271 - 251 =20\)

The two quantities are equal. Hence option C is correct.
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Re: The function f is defined by f (x) = 5x + 1 for all numbers [#permalink] New post 10 Apr 2017, 10:42
Expert's post
Carcass wrote:
The function f is defined by f (x) = 5x + 1 for all numbers x.

Quantity A
Quantity B
f(t + 54) - f(t + 50)
20




Quantity A: f(t + 54) - f(t + 50)
Quantity B: 20

Let's find the values of f(t + 54) and f(t + 50)
When we plug t + 54 and t + 50 into the function we get:
f(t + 54) = 5(t + 54) + 1 = 5t + 270 + 1 = 5t + 271
f(t + 50) = 5(t + 50) + 1 = 5t + 250 + 1 = 5t + 251

So, we have:
Quantity A: [5t + 271]- [5t + 251]
Quantity B: 20

Simplify:
Quantity A: 20
Quantity B: 20

Answer:
[Reveal] Spoiler:
C


Cheers,
Brent
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Re: The function f is defined by f (x) = 5x + 1 for all numbers [#permalink] New post 20 Apr 2017, 22:14
b is greater
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Re: The function f is defined by f (x) = 5x + 1 for all numbers [#permalink] New post 14 Nov 2018, 08:59
Tahir wrote:
b is greater

Check please. You made a mistake in simplify the values.

Correct Ans. C
Re: The function f is defined by f (x) = 5x + 1 for all numbers   [#permalink] 14 Nov 2018, 08:59
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