Multiple choice

xy2 = 4 x = 9 y > 0 Column A Column B y 2/3 Compare the two quantities to decide whether

  1. the quantity in Column A is greater

  2. the quantity in Column B is greater

  3. the two quantities are equal

  4. the relationship cannot be determined from the information given
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Interpreting the statement as xy^2 = 4, x = 9, and y > 0, we get y^2 = 4/9. Therefore y = 2/3, so the quantities in the two columns are equal.

AI explanation

Substitute the value x = 9 into the equation xy^2 = 4 to get 9y^2 = 4. Dividing both sides by 9 gives y^2 = 4/9. Since y is given as greater than zero, taking the principal square root results in y = 2/3, making the two quantities exactly equal.

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