1
advanced-math

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

B

200 m

C

50 m

D

10 m

Correct Answer: A

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.

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Set 19: Quadratic Equations and Functions 19