Answer Happy

A driver passes three speed cameras at the mileposts, with time
and velocity as shown in the chart.
time 1:05:22 1:08:22 1: 09:42
velocity 70 mph 74 mph 72 mph
mile number 242
246
248
Based on this data, the driver is given a ticket for exceeding
the speed limit, which is 70 mph. The driver contests the ticket,
claiming that his average velocity, at 72 miles per hour, was
within the 5 mph allowed by law. He demands a jury trial.
Unfortunately for him, several jury members took calculus and
physics.
1. A driver passes three speed cameras at the mileposts, with time and velocity as shown in the chart. time velocity mile number 1:05:22 242 1:08:22 74 mph 246 1:09:42 72 mph 248 70 mph Based on this data, the driver is given a ticket for exceeding the speed limit, which is 70 mph. The driver contests the ticket, claiming that his average velocity, at 72 miles per hour, was within the 5 mph allowed by law. He demands a jury trial. Unfortunately for him, several jury members took calculus and physics. The schedule of fines is given below: mph Up to 75 mph 76-80 mph 81 mph and over Fine (per occurrence) 0 $20 $50 How much does the driver have to pay, not counting court costs? Justify your answer.