SOLUTION: One concert ticket costs $90. For each addl ticket sold to the group, the price of all tickets is reduced by $3. So 2 tickets costs 2x84 = $174, etc. Write a quadratic function

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: One concert ticket costs $90. For each addl ticket sold to the group, the price of all tickets is reduced by $3. So 2 tickets costs 2x84 = $174, etc. Write a quadratic function       Log On


   

Question 430055: One concert ticket costs $90. For each addl ticket sold to the group, the price of all tickets is reduced by $3. So 2 tickets costs 2x84 = $174, etc. Write a quadratic function that gives the total cost, C, of buying x tickets.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
Cost = ( cost of 1 ticket minus [$3 x (extra tickets)] x total number of tickets
+C+=+%2890+-+3%2A%28x-1%29%29%2Ax+
+C+=+%2890+-+3x+%2B+3%29%2Ax+
+C+=+90x+-+3x%5E2+%2B+3x+
+C+=+-3x%5E2+%2B+93x+
check answer:
For 2 tickets:
+C+=+-3%2A4+%2B+93%2A2+
+C+=+-12+%2B+186+
+C+=+174+
OK
Notice that for 30 tickets, The total cost is only $90