Group Problem Discussion

Question

Resorts-R-Us charges $ 125 a night to rent a suite. If you purchase their

one-year membership fee for $350, you only pay $75 a night.

a) Think about which is the better deal. What does it depend on? Hint:

that will be your variable in your expressions.

b) Write a linear expression for paying night by night using your variable

from part a. How much will it cost to stay 3 nights? How much will it

cost to stay 9 nights?

c) Write a linear expression for purchasing the membership package

using your variable from part a. How much will it cost to stay 3

nights? How much will it cost to stay 9 nights?

d) Use a graphing tool as discussed in the Course Specific Information

Module that shows both expressions on the same axes. Export your

labeled graph and attach as a separate file. Do not link to it.

e) Using your graph, which is the better deal? Explain why in several

sentences.

f) Use your expressions from parts b and c to compute the break-even

point. Is it the same as on your graph? Why or why not.

g) Give an example of a situation where you could use this type of

decision making. You do not need to create a problem and solve but

give the one variable that will be the deciding factor. This will make

for good discussion with classmates.

Answer 1

c represents the cost

n represents the number of nights

Without membership:

c = $125n

With membership

c = $350 + $75n