Question

We created this inequality to represent how Amy can meet her revenue goals:

Answer 1

Answer:

x = 2

Price = $29

Step-by-step explanation:

If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:

$-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5$

The only realistic value is x = 2 $2 increases

If the original price was $25, then the new rice required to reach Amy's goal is:

$P=25+2*2\\P=\ 29$

The minimum ticket price is $29.

Answer 2

Answer: B: 2x^2-315x+622_< 0

C: (2x-311)(x-2)_< 0

("_<" means greaten than for equal to)