Part A. maria rented a coat at $285 for 3 days. if she rents the same coat for 6 days she has to pay $510. write an equation in standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days.. Part b. write the equation obtained in part a using function notation. Part c. describe the steps to graph the equation obtained above on the coordinate axes. mention the label on the axes and the intervals
Part A. Let the number of days and the price paid be coordinate points, such that: (3,285) and (6,510) Given these, we can create the equation by using the straight-line equation which is: (y - y1) = m(x - x1) Obtaining m = (510-285)/(6-3) = 75 Therefore, in standard equation: y - 285 = 75(x - 3) y - 285 = 75x - 225 y = 75x + 60 Part B. Expressing the standard equation in function notation, simply change y to f(x). This is shown below: y = 75x + 60 f(x) = 75x + 60 Part C. Graphing the line y = 75x + 60: Substitute values for x to find the values for y, then plot two points to obtain the graph. Substituting 0 and 1 as values for x: For x = 0: y = 75(0) + 60 y = 60 For x = 1: y = 75(1) + 60 y = 135 x-axis would be the days rented, and y-axis would be the amount paid. Plot the two points (0,60) and (1,135) and you can obtain the graph.