Question

A truck travels from a factory to a gas station in 3 minutes. It stops at the gas station for 2 minutes. The truck then returns to the factory in 5 minutes. Which graph best represents the distance, y, in miles, of the truck from the factory after a certain amount of time, x, in minutes?

A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 4, 3, and the third straight line joins ordered pair 4, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 6, 3, and the third straight line joins ordered pair 6, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.

Answer 1

A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.

Explanation:

So, during the first 3 minutes, it reached the distance y. We are not given this distance or the truck's speed, so we can not calculate it, but we know that, in this period, the truck went from (0,0) to (3,y).

During the next two minutes, the truck didn't move, but the time passed. So, it went from (3,y) to (5,y).

And finally, in the next five minutes, it returned to a factory, meaning that y=0, so it went from (5,y) to (10,0).

So, the answer that best fits this graph is D.