The owner of a motel has 60 rooms to rent. She finds that if she charges $20 per room per night, all the rooms will be rented. For ever $2 that she increases the price of a room, three rooms will stand vacant. a. Complete the table. # of price # of rooms Price Total revenue increasements rented 0. 20 60 1200 22 57 1254 3. 4. 8. 10 12 16 20 b. Let z stand for the number of $2 price increases the owners make. Write algebraid expressions for the price of a room, the number of rooms that will be rented, and the total revenue carned at that price. Price of a room: Preview Number of rooms rented: Preview Total revenue: Preview

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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The owner of a motel has 60 rooms to rent. She finds that if she charges $20 per room per night, all the rooms
will be rented. For ever $2 that she increases the price of a room, three rooms will stand vacant.
a. Complete the table.
# of price
# of rooms
Price
Total revenue
increasements
rented
20
60
1200
22
57
1254
2
3
4
7.
8.
10
12
16
20
b. Let z stand for the number of $2 price increases the owners make. Write algebrais expressions for the price of
a room, the number of rooms that will be rented, and the total revenue carned at that price.
Price of a room:
Preview
Number of rooms rented:
Preview
Total revenue:
Preview
Transcribed Image Text:The owner of a motel has 60 rooms to rent. She finds that if she charges $20 per room per night, all the rooms will be rented. For ever $2 that she increases the price of a room, three rooms will stand vacant. a. Complete the table. # of price # of rooms Price Total revenue increasements rented 20 60 1200 22 57 1254 2 3 4 7. 8. 10 12 16 20 b. Let z stand for the number of $2 price increases the owners make. Write algebrais expressions for the price of a room, the number of rooms that will be rented, and the total revenue carned at that price. Price of a room: Preview Number of rooms rented: Preview Total revenue: Preview
Number of rooms rented:
Preview
Total revenue:
Preview
c. Use your calculator to make a table of values for your algebraic expressions. Let Y stand for the price of a
room, Y, for the number of rooms rented, and Y3 for the total revenue. Verify the values you calculated in part a.
d. Use your table to find a value of æ that causes the total revenue to be zero.
e. Use your graphing calculator to graph your formula for total revenue.
f. What is the lowest price that the owner can charge for a room if she wants her revenue to exceed $1296 per
night?
2$
What is the highest price she can charge to obtain this revenue?
g. What is the maximum revenue the owner can earn in one night?
How much should she charge for a room to maximize her revenue?
How many rooms will she rent at that price?
Transcribed Image Text:Number of rooms rented: Preview Total revenue: Preview c. Use your calculator to make a table of values for your algebraic expressions. Let Y stand for the price of a room, Y, for the number of rooms rented, and Y3 for the total revenue. Verify the values you calculated in part a. d. Use your table to find a value of æ that causes the total revenue to be zero. e. Use your graphing calculator to graph your formula for total revenue. f. What is the lowest price that the owner can charge for a room if she wants her revenue to exceed $1296 per night? 2$ What is the highest price she can charge to obtain this revenue? g. What is the maximum revenue the owner can earn in one night? How much should she charge for a room to maximize her revenue? How many rooms will she rent at that price?
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