Lydia was given an x- table like the one below (6 points) x 5
4
10
7 y
19
15
39
27
She decided that the equation that matches this xy table is y
= 3x + 4. Prove to Lydia
that this equation does not work for every coordinate, and then show her the correct
equation/function that matches the x-y table above.

- "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."

here is a big fat