A horse ran 800 m and 40 seconds 1200 meters in 60 seconds and 480 m in 24 seconds is a proportional relationship if so what is the constant of proportionality what does it represent random question to represent the distance do you in meters that the horse friends and T seconds

Question

Mathematics

Lilyana Villarreal

3 December, 07:58

A horse ran 800 m and 40 seconds 1200 meters in 60 seconds and 480 m in 24 seconds is a proportional relationship if so what is the constant of proportionality what does it represent random question to represent the distance do you in meters that the horse friends and T seconds

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Answers (1)

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Celeste Higgins · Answer 1

Step-by-step explanation:

Speed = distance travelled/time

A horse ran 800 m in 40 seconds. This means that the speed is

800/40 = 20 m/s

The horse ran 1200 m in 60 seconds. This means that the speed is

1200/60 = 20 m/s

The horse ran 1200 m in 60 seconds. This means that the speed is

480/24 = 20 m/s

Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.

Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.

Let d represent the distance in meters.

Let t represent the time in seconds.

Therefore

d = 20t