Question

1. the graph shows the amounts of almonds, in grams (g), for different amounts of oats, in c., in a granola mix. label the point (1,k) on the graph, find the value of k, and explain its meaning.

review problems

1. to make a friendship bracelet, some long strings are lined up, and then 1 string is taken and tied in a knot with each of the other strings, creating a row of knots. a new string is then chosen and knotted with all the other strings to create a second row of knots. this process is repeated until there are enough rows to form a bracelet that fits around your friends wrist.

is the number of knots proportional to the number of rows? explain your reasoning.

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

Explanation:

Step1: Determine if the relationship is proportional

A proportional relationship has a constant ratio. Let's assume the number of strings is \(n\). For each row, the number of knots is \(n - 1\) (since one string is tied with the others). Let \(y\) be the number of knots and \(x\) be the number of rows. The equation is \(y=(n - 1)x\). The ratio of \(y\) to \(x\) is \(n-1\), which is a constant.

Step2: Explain the meaning

Since the ratio of the number of knots to the number of rows is constant (\(n - 1\)), the number of knots is proportional to the number of rows.

Answer:

Yes, the number of knots is proportional to the number of rows. Because the ratio of the number of knots to the number of rows (equal to the number of strings minus 1) is constant.