The supervisor of a building project needs to organise waste collection for the duration of the project. In the local area there are two waste collection companies offering two different models of subscription and you are asked to determine which will be the best option financially. Bin-a-gogo offers each collection of rubbish at the cost of 209. We-Want-Your-Waste-Plc offers each collection of rubbish at the cost of 120, however there is a sign- up fee of 450 a. For each company, write a formula to calculate the total cost for a given number of collections. (2 marks) b. If the project lasted 9 weeks and collections were made once a week, using the formula you have created in part (a) show which company would be the most cost effective. (4 marks) c. Produce a graph that can be used to determine which company is cheapest for any number of collections between 1 and 20. Graph paper is provided in the Resources area of the website.) (4 marks) 2 marks are allocated for producing a graph that correctly shows the information requested and 2 marks are allocated for using good mathematical style in your graph. d. Under what conditions is each of the companies the cheaper option? Explain how the graph you have produced in part (C) can be used to determine this. (4 marks)