Please help me answer the following.

The SLEX strictly implements speed limits on tollways to ensure safety and avoid road accidents. The minimum speed of cars permitted on freeways and major expressways is 60 kph, and the maximum is 100 kph. Suppose that the violation of these limits requires a fine F, that is $200 for every kilometer or a fraction of it above the maximum and $150 for every kilometer or a fraction of it below the minimum speed. 1. Construct a piece-wise defined function to model the total fine F in terms of the speed x of driving. 2. Calculate: a) F(50); b) F(105). 3. Solve for F(80). What does this mean? 4. A motorist has been issues a speed ticket for driving at a speed of 115 kph. How much fine will he pay? 5. An old and beat-up Volkswagen Beetle was apprehended and had to pay $3,150 for violating the speed limit. Was he under-speeding or over-speeding? Justify your