If Sophie traveled 25 feet in 3 seconds, how fast was she traveling in miles per minute(5280 feet in a mile)

0.095 miles per minute

Step-by-step explanation:

If Sophie traveled 25 feet in 3 seconds, then in 1 second she will travel

25/3 = 8.333 ft

But in 60 seconds make 1 minute, so in 1 minute, she will travel

(25/3) × 60 = 25 ×20

= 500 ft

Therefore in miles/minute, she was going

500/5280 = 0.095 miles per minute

- "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."

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