Precalculus
posted by Elli on .
The Downhill Ski club is organizing a ski trip. Group tickets for the ski trip are priced at $20 for the first 100 skiers and a discount of $5.00 per ticket for each of the skiers over 100.
a) write a formula to find the cost of x skiers.
Answer: c(x)=2000+15(x100), if x>100
b) How many skiers need to go to bring the price per ticket to $16.00.

You got part (a) correct.
For (b), solve:
2000+15(x100) = 16 x
x = 2000 1500 = 500
400 of the 500 skiers get $15 tickets.
Total revenue is 6000 from them and 2000 from the first 100, or $8000. That is an average of $16 each.