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 for each of the skiers over 100.

a) write a formula to find the average cost of x skiers.
b)write a formula to find the average cost of the ticket per skier.
c)if 185 skiers go what will be the average cost per ticket?
d) how many skiers need to go to bring the price per ticket to $16.00?

cost = 2000 + 15(x-100) , x ≥ 100

b) just divide all of the above by x

c) plug in your x

d) set your equation in a) equal to 16

a) To find the average cost of x skiers, we need to determine the total cost and divide it by the number of skiers.

First, let's calculate the total cost:
- For the first 100 skiers, the cost per ticket is $20. So, the cost for the first 100 skiers would be 100 * $20 = $2000.
- For any skier over 100, there is a discount of $5.00 on each ticket. Let's denote the number of skiers over 100 as (x - 100). Therefore, the discounted cost for those skiers would be (x - 100) * $5.00.

Now, let's write the formula for the total cost:
Total cost = $2000 + (x - 100) * $5.00

b) To find the average cost of the ticket per skier, we will divide the total cost by the number of skiers (x).

Formula for average cost per skier: Average cost = Total cost / x

c) If 185 skiers go, we can plug in the value of x into the formula for the average cost.

Average cost = ($2000 + (185 - 100) * $5.00) / 185

d) To find the number of skiers needed to bring the price per ticket to $16.00, we need to rearrange the formula for average cost and solve for x.

$16 = ($2000 + (x - 100) * $5.00) / x

Now, we can solve the equation to determine the value of x.