MATH 106 Module 3 Group Challenge Problem Discussion Resorts-R-Us charges $ 125 a night to rent a suite. If you purchase their one- year membership fee for $35, you only pay $?5 a night. a) Think about which is the better deal. What does it depend on?I Hint: that will be your variable in your expressions. h) 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 Specic Information Module that shows both expressions on the same axes. Export your labeled graph and attach as a separate le. Do not link to it. e) Using your graph, which is the better deal? Explain why in several sentences. If} Use your expressions from parts b and c to compute the break-even point. ls 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 he the deciding factor. This will make for good discussion with classmates