Suppose that speeding fines are determined by the linear function f(x) = 10(x - 55) + 50, x > 55, where f(x) is the cost in dollars of the fine if a person is caught driving x miles per hour. (a) Radar clocked a driver at 74 mph. How much was the fine? (b) While balancing his checkbook, a person ran across a canceled check that his wife had written to the Department of Motor Vehicles for a speeding fine. The check was written for $100. How fast was his wife driving? (c) At what whole-number speed are tickets first given? (d) For what speeds is the fine greater than $200? (a) The fine was $ (b) The person's wife was driving at mph. (c) Tickets are first given at the speed of mph. (Type a whole number.) (d) The fine is greater than $200 for speeds more than mph