Math for Econ I-Homework Assignment 1 (24 points)Due Monday 17th of September, beginning of classSelin KalayciogluNew York UniversityFrom our textbook read Chapter 4!!!Please make sure you write out the solutions neatly. Please show all your work. If you only write the answer with nowork you will not be given any credit. Also do not forget to write your name and your recitation section number ontop. Make sure you staple your HW if you multiple pages!!!1. Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amountmonthly plus a charge for each cubic foot of water used. A household using 1000 cubic feet was billed $40, whileone using 1600 cubic feet was billed $55.(a) What is the charge per cubic foot?(b) Write an equation for the total cost of a residentās water as a function of cubic feet of water used.(c) How many cubic feet of water used would lead to a bill of $100?