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Assignment 1, Math for Economics I (28 points)Due Friday, September 12, in recitationWrite neat solutions for the problems below. Show all your work. If you only write the answer with no work, you willnot be given any credit. For especially painful computations, you may use your calculator, but you must show all workthat took place before you hit the buttons on the calculator. Please do not forget to:•Write your name and recitation section number.•Staple your homework if you have multiple pages!1. (6 pts) Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixedamount monthly plus a charge for each cubic foot of water used.In other words, the monthly bill is a linearfunction of the water used. A household using 1000 cubic feet was billed $40, while one using 1600 cubic feet wasbilled $55.(a) (2 pts) What is the charge per cubic foot?(b) (2 pts) Write an equation for the total cost of a resident’s water as a function of cubic feet of water used.(c) (2 pts) How many cubic feet of water used would lead to a bill of $100?Solution: