The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city. t (x) degrees F 80 70 60 50 40 2 4 6 8 10 12 The equation of the graph is t(x) = -0.8x² +11.6x + 38.2°F where x is the number of hours since 6 A.M. (a) Write the formula for t'. t'(x) = x hours since 6 A.M. (b) How quickly is the temperature changing at 11 A.M.? (Round your answer to one decimal place.) t'(5) = °F per hour (c) What is the instantaneous rate of change of the temperature at 3 P.M.? (Round your answer to one decimal place.) t'(9) = °F per hour

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