If x = 10 and y = 0.1, which of the following expressions has the highest value?

AX squared times y squared

BX squared minus y squared

CX squared plus y squared

DX squared divided by y squared ✓ Correct

Correct answer: (D) X squared divided by y squared

Explanation

The expression x^2 / y^2 is the greatest.

With x = 10 and y = 0.1: x^2 = 100 and y^2 = 0.01.

x^2 / y^2 = 100 / 0.01 = 10000.

The others give x^2 x y^2 = 1, x^2 - y^2 = 99.99, x^2 + y^2 = 100.01.

Dividing by the tiny 0.01 makes 10000 far the largest.

Method: evaluate each after substituting the values.

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