We created this inequality to represent how amy can meet her revenue goals:
-100x2 + 15,750x + 212,500 ≥ 243,600
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
solve the quadratic inequality. remember to check any possible solutions for viability.
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
what’s the minimum ticket price that amy can charge and reach her goal? recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.