Question

The graph shows the distances traveled by two cars over several hours.

Which car is moving at a faster rate?



Select from the drop-down menu to correctly complete the statement.
Car____ is moving at a faster rate.

options : A or B

Answer 1

B

Step-by-step explanation

The graphs shown are graphs of distance(m) against time(h).

The slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

This is the formula for finding the speed. So, the slope of these graphs represent the speed of the runner.

Taking each division in the graph to represent 1 on both axis:

Car A ⇒ speed = (5-0)/(8-0)

= 5/8

= 0.625 m/h

Car B ⇒ speed = (7-0)/(3-0)

= 7/3

= 2.333 m/h

Car B is moving at a faster rate.