Directions

Read the instructions for this self$-$checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work.

Activity

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

$-100x^2+15,750x+212,500243,600$

In this activity, you'll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.

Part A

Set the inequality greater than or equal to $0.$ Part B

Simplify the inequality by dividing by the GCF so the leading coefficient is positive. Part C Factor the left side of the inequality by grouping part D soSolve the quadratic inequality part E What is the minimum number of $$2$ increases that Amy needs to apply to the ticket price to reach her desired revenue part F whatwhat's the minimum ticket price that aAmy can charge and reach her goal, recall that the ticket price is represented by $25+2$x$,$ where x represents the number of $$2$ increases