Algebra 1 Question

Question

a basketball team must sell t amount of tickets to make m amount of money following the equation:

m=t^2 + 50t -30000

How many tickets must be sold for the teams to break even (m=0)

Answer 1

Set m(t)=0 and solve for t.

t² + 50t - 30000 = 0

(t - 150)(t + 200) = 0

Since t must be positive, the correct answer is 150.