The distance John ran is directly proportional to his time in minutes. Write an equation to model this situation.
Let d be the distance John ran and t be the time in minutes. Since the distance is directly proportional to the time, we can write the equation as:
d = k*t
where k is the constant of proportionality.
Time (t) in Minutes 1: 62.5, 2: 125, 3: 187.5
Distance (d) in Miles 1: 5, 2: 10, 3: 15
d=0.08td is equal to 0 point 0 8 t
t=12.5dt is equal to 12 point 5 d
d=12.5td is equal to 12 point 5 t
t=d+57.5
The equation that models the situation is:
t = d + 57.5
To find the constant of proportionality (k), we can use any of the given values for time and distance. Let's use the first set of values (t = 1, d = 5):
d = k*t
5 = k*1
Dividing both sides by 1, we get:
k = 5
Now we can write the equation to model the situation:
d = 5*t