Set 5: Quadratic Equations

Explanation

Answer: A

A suspension bridge cable forms a parabola $y = 0.01x^2$ . If the towers are 200m apart (from -100 to 100), how high is the cable at the towers?

100 m

✓ Correct

200 m

50 m

10 m

Detailed Explanation

Choice A is correct. Choice A is the correct answer. The towers are located at $x = -100$ and $x = 100$ . 1. Substitute $x = 100$ into the equation. 2. $y = 0.01(100)^2$ . 3. $y = 0.01(10000) = 100$ meters. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 100 m

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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