More Math at Powell
Name
Red Rock Tours is offering a one-week vacation to Lake Powell at a cost of
$400 per person. A minimum of 15 people must sign up and the maximum of
40 people can go. Red Rock offers a discount of $5 for each registered person
once the number of people who register exceeds 20. For each additional
person, they will reduce the price another $5 per person.
1. Write an equation for the revenue that Red Rock will obtain for 15 to 20 customers.
2. How much revenue will Red Rock Tours bring in if 16 people sign up?
3. Complete the table in order to answer subsequent questions.
# of Customers
Price per Customer
Total Revenue
20
20 + 1 = 21
20 + 2 = 22
20 + 3 =
20 +
$400
$400 - $5(1) = $395
$400 - $5(2) = $390
$400 - $5( ) =
$400 - $5
20 + x =
$400 - $5( ) =
20 X $400 = $8,000
21 X
= $8,580
22
4. How much revenue will Red Rock Tours bring in if the following number of people sign
up
a) 25
b) 28
c) 32
d) 39
5. How many people should sign up for Red Rock Tours to maximize their revenue?
How did you find the answer?
6. How many people should sign up so that the customers get the best deal?
7. What is the stated domain of Red Rock Tours?
8. Construct a piece-wise function representing the revenue for Red Rock Tours including
the correct domains.