Phil is riding his bike. he rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50 miles in 4 hours. find the constant of proportionality and write an
equation to describe the situation.

To find the constant of proportionality, divide the variables - in this case, 25/2=12.5 is our answer.

An equation to describe this would be 12.5t=s, where t is the time, in hours, and s is the speed, in miles per hour.  This is because each speed variable is 12.5 times the time in hours.

So,

He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50 miles in 4 hours.

(I'm thinking) the constant of proportionality is the same as solving for the unit rate.

Divide 25 by 2.
12.5 mph


That (I think) is the constant of proportionality

Now we will write an equation to represent all the data.


Hope I helped!  If not, you can delete my answer.