A satellite dish company charges a one-time installation fee of $75 and then a monthly usage charge of $40. The total cost C of using that satellite service is given by the function C(t) = 40t + 75, where t is the time (in months) since starting the service. For the situation given below, describe the new function using the graph of C(t) = 40t + 75 as a reference. a. The satellite dish company reduces its one-time installation fee to $60. What change would you make to the graph of C(t) = 40t + 75 to obtain the new graph?
b. The satellite dish company decreases its monthly fee to $30. What change would you make to the graph of C(t) = 40t + 75 to obtain the new graph?
c. What is the new function with both changes?