The statement A , C, E, F is not true for the graph shown .
Statement a is not true. The relationship between time and distance is not directly proportional.
The distance increases as the time increases, but the rate of increase is not constant.
For example, the distance traveled between hour 2 and hour 3 is 60 miles, while the distance traveled between hour 7 and hour 8 is only 35 miles.
Statement b is true. The point (3, 165) means that the car traveled 165 miles in 3 hours.
Statement c is not true. The constant of proportionality is not distance.
The constant of proportionality is the rate of change of the dependent variable (distance) with respect to the independent variable (time).
In this case, the constant of proportionality is the miles per hour that the car is traveling.
Statement d is true. The point (0, 0) represents the beginning of the trip.
Statement e is not true. It takes more time to drive 275 miles than to drive 220 miles.
According to the graph, it takes about 5 hours to drive 220 miles and about 6 hours to drive 275 miles.
Statement f is not true. The unit rate is not 0 miles per hour.
The unit rate is the rate of change of the dependent variable (distance) with respect to the independent variable (time).
In this case, the unit rate is the miles per hour that the car is traveling, which is not 0.