Set 14: Quadratic Equations (Intermediate)

Explanation

Answer: A

If demand is $p = 100 - x$ and Revenue is $x \cdot p$ , what is the revenue function?

$R(x) = 100x - x^2$

✓ Correct

$R(x) = 100 - x^2$

$R(x) = 100x + x^2$

$R(x) = x^2 - 100x$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Revenue is Quantity times Price. 1. $R(x) = x \cdot (100 - x)$ . 2. Distribute: $R(x) = 100 x - x^2$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $R(x) = 100x - x^2$

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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