Question

The distance John ran is directly proportional to his time in minutes. Write an equation to model this situation.

Answer 1

Time (t) in Minutes 1: 62.5, 2: 125, 3: 187.5
Distance (d) in Miles 1: 5, 2: 10, 3: 15

Answer 2

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

Answer 3

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.

Answer 4

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

Answer 5

The equation that models the situation is:

t = d + 57.5