In the equation y = 312 - 512x, which value of x results in the highest value of y?

Answer Choices

Correct answer marked below

150

0.25

-2

Correct

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Explanation

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Official Explanation

Official

For option (A) 150, y = 312 - 512 * 150 = a very large negative number.

For option (B) 75, y = 312 - 512 * 75 = still a negative number, but less extreme than A.

For option (C) 0.25, y = 312 - 512 * 0.25 = 312 - 128 = 184.…

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What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.