There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is \$47.94. The point \((6, 47.94)\) is shown on this graph:

Graph of a point on a coordinate plane, origin O. Horizontal axis, time (months), scale 0 to 22 by 2’s. Vertical axis, cost (dollars), scale 0 to 180 by 20’s. There is a point at (6 comma 47 point 94).

1. What is the constant of proportionality in this relationship?
2. What does the constant of proportionality tell us about the situation?
3. Add at least three more points to the graph and label them with their coordinates.
4. Write an equation that represents the relationship between \(C\), the total cost of the subscription, and \(m\), the number of months.

To make a friendship bracelet, some long strings are lined up. One string is taken and tied in a knot with each of the other strings to create a row of knots. A new string is chosen and knotted with all the other strings to create a second row. This process is repeated until there are enough rows to make a bracelet to fit around a friend's wrist.

Are the number of knots proportional to the number of rows? Explain your reasoning.

What information do you need to know to write an equation relating two quantities that have a proportional relationship?