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: Locate the point on the graph

Find the point where \(x = 1\) (since the \(x\)-axis is oats (cups)).

Step2: Determine the \(y\)-value

Read the \(y\)-value (almonds in grams) at \(x = 1\). From the graph, when \(x=1\), \(y = 25\). So \(k = 25\).
The meaning: When there is \(1\) cup of oats in the granola mix, there are \(25\) grams of almonds.

Answer:

The value of \(k\) is \(25\). It means that for \(1\) cup of oats in the granola mix, there are \(25\) grams of almonds.