Varun drove to work this morning. it took
him 15 minutes. he stopped at a traffic
light for 3 minutes after driving for
5 minutes. sketch a graph to represent
the distance from varun's house during
his drive to work.

See attached graph

Step-by-step explanation:

The graph of distance from home as a function of time starts at the origin of coordinates (0,0) since at time zero minutes Varun is at home.

Then we represent his driving at constant speed (although it has not been specified in the problem) as a line with positive slope equal to his speed, that goes on for the first five minutes. After that, he reaches the traffic light that keeps him at the same distance from home for three minutes (notice the line representing the distance covered is flat from minute 5 to minute 8, while he is not moving).

Then he starts moving again (we assume at the same speed as before - so the line representing his position is again a line with positive slope and with the SAME inclination as that which represents the first 5 minutes of his trip.

The line ends at minute 15 which is the time it took him to get to work.