Question

to make a friendship bracelet, some long strings are lined up. one of these strings is chosen and tied with each of the other strings to create a row of knots. then, another of the strings is chosen and knotted with each of the other strings to create the next row. this process is repeated until there are enough rows to make a bracelet to fit around your friends wrist. complete the statement about whether the number of knots is proportional to the number of rows.
the number of knots select choice proportional to the number of rows because each row will have select choice number of knots in it.
(esson 2 - 9)

Explanation:

Step1: Understand proportional relationship

Two quantities are proportional if the ratio between them is constant. Let's assume there are \(n\) strings. When we make a row of knots, for a particular string chosen to make the row, the number of knots in a row is \(n - 1\) (because it is tied with each of the other strings).

Step2: Check the ratio

Let \(y\) be the number of knots and \(x\) be the number of rows. The formula for the number of knots \(y=(n - 1)x\). The ratio \(\frac{y}{x}=n - 1\), which is a constant.

Answer:

The number of knots is proportional to the number of rows because each row will have the same number of knots in it.