Truck Driver Payment
Which payment plan will pay the truck driver more money?
In this case we will be comparing the payment options that a truck driver has to chose from. The amount of money earned will be represented by p and the distance driven (in kilometers) will be represented by d. Using this you need to say under which circumstances each plan will pay him more.
Payment Plan A
The driver receives a flat rate of $175 and an additional $0.60 for every kilometer he drives. To show this mathematically you can use the equation p=0.6d+175.
Payment Plan B
The driver receives a flat rate of $85 and an additional $0.90 for every kilometer he drives. To show this mathematically you can use the equation p=0.9d+85.
Graph Showing This Linear System
This linear system is significant for the truck driver as knowing the solution lets him know which one of the plans would be better on any specific trip. Using the equation he can also find the exact amount of money he could earn on any specific trip. Therefore he can chose the plan that will pay him the most without having to guess.
In conclusion, if the truck driver goes on a trip that is longer than 300 km, plan B will pay more. On the other hand, if he goes on a trip that is shorter than 300 km, plan A will pay him more.