4

Set 6: Quadratic Equations (Intermediate)

Explanation

Answer: A

A suspension bridge cable forms a parabola y=0.01x2y = 0.01x^2. If the towers are 200m apart (from -100 to 100), how high is the cable at the towers?

A.

100 m

✓ Correct
B.

200 m

C.

50 m

D.

10 m

Detailed Explanation

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