Your mother recieved a robot vacuum cleaner as a gift and wants you to help her program it to clean a vacant 30 ft by 30 ft room. if the vacuum is at position (12,9) at time t=2 seconds and at position (24,18) at t=5 seconds answer the following

- "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."

6 and 24

step-by-step explanation:

6 x 4 = 24

25.3

step-by-step explanation:

1st step

add 3+6

=9

multipy 9*3

=37