11
AssignmentMultiple Choice

Quadratic Inequalities

Question 11 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Look at the factorization shown below.0 < –100x2 + 350x – 1500 < –50(2x2 – 7x + 3)0 < –50(2x – 1)(x – 3)Select the range that Mario can choose from to price his muffins and make a positive profit.

Answer
A
x < $0.50
B
$0.50 < x < $3.00
C
$0.50 $3.00
D
x > $3.00

Explanation

The profit is positive when [?]0 < -50(2x - 1)(x - 3). The zeros are x = $0.50 and x = $3.00. Because the expression has a negative leading coefficient, it is positive between those zeros, so Mario should choose a price greater than $0.50 and less than $3.00: choice B.

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