10
advanced-math

Which function models a situation where revenue increases then decreases?

A

R(x)=−2x2+50xR(x) = -2x^2 + 50x

B

R(x)=2x2+50xR(x) = 2x^2 + 50x

C

R(x)=50xR(x) = 50x

D

R(x)=x2R(x) = x^2

Correct Answer: A

Choice A is the correct answer.

  1. "Increases then decreases" describes a parabola opening downward (concave down).
  2. This requires a negative leading coefficient (a<0a < 0).
  3. Only Choice A has a=−2a = -2.

Choice B is incorrect because it opens upward (decreases then increases). Choice C is incorrect because it is linear. Choice D is incorrect because it opens upward.

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Set 18: Quadratic Equations and Functions 18