The time it takes for a plane to fly a given distance is inversely proportional to the speed that the plane is flying. a) Determine the equation of the function, t(v), that relates the time, t (in hours) to fly between the cities at a given speed, v (in km/h) if it takes 5 hours and 15 minutes to fly between 2 cities at a speed of 420 km/h. b) Use your function from part a) to determine the speed the plane should fly at if the pilot wants to make the trip in 4 hours and 30 minutes