Today, John ran 15 miles in 2 hours and 30 minutes. He wants to represent the relationship between the distance he ran, in miles, and the time, in hours, as proportional in order to examine his times at various distances. Write an equation that John can use to represent a proportional relationship between distance, d, in miles, and time, t, in hours.

Firstly, lets change the 2 hours and 30 minutes to 2.5 hours, you could devide the time in minutes by 60 to get that number 2[hours]+([tex]\frac{30}{60}[/tex])[minutes to hours] = 2.5Hours.

Anyway, John ran 15 miles in 2.5 hours which means he ran (15÷2.5) in one hour which is equal to 6miles per hour. That means if you multiply the hours he ran by 6 you will get the miles he ran.

So the answer would be:

d = 6t

ibiscollingwood ibiscollingwood · Answer 2 · 2021-10-10T12:57:50+02:00

Speed is the ratio of distance to the the time.

Relationship between distance d and time t is [tex]d=6t[/tex]

We have to represent a proportional relationship between distance, d, in miles, and time, t, in hours.

first convert 2 hours and 30 minutes into hours.

2 hours and 30 minutes = 2 + 30/60 = 2.5 hours

Since, [tex]distance=speed * time[/tex]

Speed = distance / time

= 15 / 2.5 = 6 miles/hour

So, distance(d)=6t

Thus, Relationship is [tex]d=6t[/tex]

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