the distance john ran is directly proportional to his time in minutes. Write an equation to model this situation.
time
62.5 minutes = 5 miles
125 minutes = 10 mines
187.5 minutes = 15 miles
Let's denote the distance as "d" and the time in minutes as "t". According to the given information, we can write the equation:
d = kt
where "k" is the constant of proportionality.
Using the data provided, we can find the value of "k" by substituting any two sets of values into the equation. Let's use the second set:
10 = k(125)
Now, we can solve for "k":
k = 10/125
k = 0.08
Therefore, the equation that models this situation can be written as:
d = 0.08t