Carcass wrote:
Ann’s class has x students this semester. Paul’s class has one less than three times the number of students in Ann’s class.
Quantity A |
Quantity B |
\(x^2\) |
\(2x\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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It COULD be the case that \(x = 1\) (which means Ann’s class has 1 student, and Paul's class has 2 students)
If \(x = 1\), we get:
QUANTITY A: \(x^2 = 1^2 = 1\)
QUANTITY B: \(2x = 2(1) = 2\)
In this case, Quantity B is greater
It COULD also be the case that \(x = 2\) (which means Ann’s class has 2 students, and Paul's class has 5 students)
If \(x = 2\), we get:
QUANTITY A: \(x^2 = 2^2 = 4\)
QUANTITY B: \(2x = 2(2) = 4\)
In this case, the two quantities are equal
It COULD also be the case that \(x = 3\) (which means Ann’s class has 3 students, and Paul's class has 8 students)
If \(x = 3\), we get:
QUANTITY A: \(x^2 = 3^2 = 9\)
QUANTITY B: \(2x = 2(3) = 5\)
In this case, Quantity A is greater
Answer: D