1. Linear Functions a) The relationship between temperature measured in degrees Fahrenheit (F) and tem- perature measured in degrees Celsius (C) is given by a linear equation of the form C(F) = mF +b The freezing point of water is F - 320. (or C - 09), while the boiling point of water is F= 2120 or (C = 1009). By using the points (32, 0) and (212, 100) find the slope,m. Then find the constant b and hence write linear function C(F). (b) Re-write equation C(F) as F(C) and verify that F(C) - C-1(F) ie it is an inverse function. (c) In the FC - plane sketch the graph of the equation C(F) found in part (a). On the same set of axessketch the line with the equation C - F. Is there a temperature for which a Celsius thermometer gives the same reading as a Fahrenheit thermometer? If so, then what is that temperature value