If car is driven at 30 mph during 2 hours, then space (distance) is d=vt=30t when t is from 0 to 2
Next: 55 mph the next 5 hours, then d=55t when t starts in 2 and finishes in 7 (5 next hours to prior movement). But the car is placed at 60 miles from origin. Then the funtion is 55t−55 because for t=2, we have 55⋅2−55=60
Finally: 20 mph, then d=20t when t starts in 7 and finishes in 8 (next hour to prior movement). But the car is placed at 335 miles because 55⋅7−50=335. Then the next movement stars here and the las function will be 20t+195 because for t=7 we have 20×7+b=335 this is b=195. Finally we have 20t+195
The best representation to movement is D
