Does this table represent a function? Why or why not?

B

Yes, the Does represent a function since every x-value corresponds to exactly one y-value

Step-by-step explanation:

Go to Desmos.com and its a graphing calculator program that will show you how you graph is made

When 1 x-value has exactly 1 y-value, then the table is representing a function

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

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:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."