Please help solve these!

Vour teacher was driving on a toll road which has a speed limit of 60 MPH (miles per hour). Two weeks later they receive a ticket for speeding for going at least 25 MPH over. Your teacher is outraged and doesn't believe that they have any way of proving they went 85 MPH since there weren't any radar guns on the road. Because you are good at math the teacher turns to you and asks you to help them make a case against the toll road company. Here is the information that the toll company provided your teacher as proof of their speeding Toll Booth A Entrance on Toll Road Time: 6:00 Mile Marker: 15 Toll Booth E , Exit on Toll Road Time: 7:00 Mile Marker: 100 Is the toll road company correct to give your teacher a ticket? Come up with some arguments one way or the other, Include the Mean Value Theorem where appropriate. B i U Foanamily 'AA' A. .0 _:' i5 ' vc3||Bmgtv Water is flowing into a tank at a rate of R(t) where t is measured in seconds. Is there ever a time where the R'(t) = 0? If so, what time interval does t occur in? Justify your answer using the Mean Value Theorem. t R(t) 0 70 72 2 78 3 80 4 83 5 78 6 82 i U Font Family AAA DE EE. @