Question

Aki drove from home to visit a friend. His average speed during the first hour was 40 miles per hour (mph). For the next 3 hours he drove on the highway at 70 mph and then rested for 30 minutes. After the rest, Aki continued on the highway at 70 mph. which graph BEST represents his distance from home as a function of time?

Answer 1

Given that:

For first hour- 40mph

For 3 hours - 70mph

30 minutes - 0 mph

after that- 70 mph

Here, the speed increases from 40 mph to 70 mph

So the graph here will be move upward.

For 30 min rest, the graph will be flat as distance is not changing with time.

After that it will again increase as it gains 70 mph speed.

Thus, the first graph is the correct one.