Question

.1) Mr. Garrison and some friends are headed to the Taylor Swift concert.

The ticket office sells individual tickets for $89.95 each and offers a group
rate of $59.95 each plus a one time fee of $99.99. Write an inequality that
shows when the group rate is cheaper than the individual rate.

Answer 1

(59.95n + 99.99) < 89.95n

Explanation:

If the ticket office sells individual tickets for $89.95 each

Cost of 'n' number of tickets sold = $89.95n

If the ticket office offers a group rate of $59.95 each plus a one time fee = $99.99

Cost of tickets in a group with 'n' members = $(59.95n + 99.99)

If group rate is cheaper than the individual rate, the inequality will be,

(59.95n + 99.99) < 89.95n