Would anyone be able to help me with the following question? Thank you.
Point 1: When there is 1 car passing the road, the average speed is 50km/h.
Point 2: When there are 5 cars passing the road, the average speed is 45km/h.
Point 3: When there are 12 cars passing the road, the average speed is 38km/h.
A traffic engineering company decides to model the average speed (shown by u) as a linear function of the number of cars (shown by n). So we want to have
u(n)=α+βn.
Use Point 1, Point 2 and Point 3 information: write a system of linear equations to calculate α and β using all three points; i.e. we will have three equations with two unknowns.