ezinne5189@gmail.com wrote:
Hey guys, I don't get how is B either. If you plug in negative values, A becomes larger. Please explain.
x < y
Quantity A |
Quantity B |
The average (arithmetic mean) of x and y |
The average (arithmetic mean) of x, y and y |
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.SOLUTION:
The average (arithmetic mean) of x and y is (x + y)/2
The average (arithmetic mean) of x, y and is (x + y + y)/3
(x + y)/2 ? (x + y + y)/3
3x + 3y ? 2x + 4y
x ? y
Since we are given in the stem that x < y, then ? is < sign, which means that Quantity B is greater.
Answer: B.
Hope it's clear.