Question

Problem 3

To make a friendship bracelet, some long strings are lined up; then, one string is tied in a
knot with each of the other strings to create a row of knots. A new string is chosen and
knotted with the 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 your friend's wrist.
Are the number of knots proportional to the number of rows? Explain your reasoning.
Problem 4
What information do you need to know to write an equation relating two quantities that
have a proportional relationship?

Answer 1

The number of knots is proportional to the number of rows in a friendship bracelet. To write an equation for two quantities with a proportional relationship, you need to know the constant of proportionality.

Step-by-step explanation:

The number of knots is proportional to the number of rows in a friendship bracelet. Each row adds a knot for every other string in the bracelet. So, if there are 3 strings, there will be 2 knots in the first row, 2 knots in the second row, and the pattern continues.

To write an equation relating two quantities that have a proportional relationship, you need to know the constant of proportionality. This constant can be represented by a symbol like k, and it relates the two quantities. For example, if y is proportional to x, the equation would be y = kx.

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