2 7 (in minutes) 11 C(1) 10 22 19 (in number of customers) 2. In a large town, the local cable company experienced a service outage that prevented residents of the town from being able to watch their local football team play on the television. As the local cable company began receiving phone calls to report the outage, residents were placed on hold while operators attempted to respond to the customer calls. The number of customers on hold with the cable company is given in the table above for selected times following the service outage. The number of customers on hold / minutes after the service outage can be modeled by the function C given by C(1) = at +br +c. (A) (1) Use the given data to write three equations that can be used to find the values for constants a, b, and c in the expression for C (r). (ii) Find the values for a, b, and c. (B) (i) Use the given data to find the average rate of change in the number of customers on hold, in customers per minute, from f = 7 to f = 1 1 minutes. Express your answer as a decimal approximation. Show the computations that lead to your answer. (ii) Use the average rate of change found in (i) to estimate the number of customers on hold when / = 10 minutes. (iii) Consider the average rates of change of C from / = 0 to / = k minutes where 0