The proportional relationship between time and distance is:
y = (5 mi/h)*x
How to get an equation that relates distance and time?
A proportional relationship is of the form:
y = k*x
Where k is the constant of proportionality.
To find the proportional relation, we can replace the data that we have on the table. x, the independent variable will be the time, and y, the dependent variable, will be the distance.
Then, replacing the first pair of data on the general proportional relationship we can write:
10 mi = k*2h
10 mi/2h = k = 5 mi/h
Now, let's try with another pair to see if we get the same value of k.
15 mi = k*3h
15mi/3h = k = 5mi/h
So we keep getting the same value of k, this means that the equation that relates the distance and the time running as:
y = (5 mi/h)*x
If you want to learn more about proportional relations, you can read:
https://brainly.com/question/12242745
