Question

mario has a business selling muffins. let x be the price of a muffin. then, the profit p for marios business is given by
$p(x) = -100x^2 + 350x - 150$
choose the inequality that shows the business will make a positive profit.
$0 \geq -100x^2 + 350x - 150$
$0 \leq -100x^2 + 350x - 150$
$0 > -100x^2 + 350x - 150$
$0 < -100x^2 + 350x - 150$

Explanation:

Step1: Define positive profit condition

Positive profit means \(P(x) > 0\).

Step2: Substitute profit function

Replace \(P(x)\) with the given expression:
\(0 < -100x^2 + 350x - 150\)

Answer:

D. \(0 < -100x^2 + 350x - 150\)