7. (12 points) The number of cars per hour passing an observation point along a highway is called the traffic flow rate q(t ) (in cars per hour). On a weekday morning the traffic flow rate on a highway is given by the following function q(t) = 300 + 200t - 30t2 where t denotes the time in hours and t = 0 at 5:00 AM. How many cars pass by from 5:00 AM unti 10:00 AM