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If x + y= 8z, then which of the following represents the average (arit
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09 Aug 2021, 15:31
09 Aug 2021, 15:31
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If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
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Re: If x + y= 8z, then which of the following represents the average (arit
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09 Aug 2021, 15:51
09 Aug 2021, 15:51
Carcass wrote:
If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
Here's a solution that involves the INPUT-OUTPUT approach.
Given: x + y = 8z
So, one possible solution to this equation is x = 7, y = 9 and z = 2
Which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
Average = (x + y + z)/2
= (7 + 9 + 2)/2
= 18/3
= 6
So, when we INPUT x = 2, the answer to the question is 6
So, we're looking for an answer choice that OUTPUTS a 6 when we INPUT x = 2
Let's check the answer choices...
(A) 2(2) + 1 = 5. No good. We want 6. ELIMINATE
(B) 3(2) = 6. KEEP
(C) 5(2) = 10. No good. We want 6. ELIMINATE
(D) 2/3 = 2/3. No good. We want 6. ELIMINATE
(E) 3(2)/2 = 3. No good. We want 6. ELIMINATE
Answer: B
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Re: If x + y= 8z, then which of the following represents the average (arit
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09 Aug 2021, 22:18
09 Aug 2021, 22:18
1
the average of x, y, and z = (x+y+z)/3
and it is given x + y= 8z
plug on 8z ==> (8z+z)/3==> 9z/3= 3z
It is B
Best of luck
and it is given x + y= 8z
plug on 8z ==> (8z+z)/3==> 9z/3= 3z
It is B
Best of luck
