Hal gives roping lessons at the Sundown Corral. A 3.5-hour lesson costs $105.00. The cost of a lesson is proportional to the duration, in hours, of the lesson. What is the constant of proportionality in terms of dollars per hour?

Answer 1

The constant of proportionality is the unit rate that relates the cost of the lesson to the duration of the lesson.
In this case, the cost of a 3.5-hour lesson is $105.00.
To find the cost per hour, we divide $105.00 by 3.5: $$\frac{105}{3.5} = \boxed{30}$$
Therefore, the constant of proportionality is $30 per hour.