2. the graph shows the amounts of almonds, in grams (g), for different amounts of oats, in c., in a granola…

2. 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.\nreview problems\n3. 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.\nis the number of knots proportional to the number of rows? explain your reasoning.\n4. what information do you need to know to write an equation relating two quantities that have a proportional relationship?

2. 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.\nreview problems\n3. 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.\nis the number of knots proportional to the number of rows? explain your reasoning.\n4. what information do you need to know to write an equation relating two quantities that have a proportional relationship?

Answer

Explanation:

Step1: Analyze the graph

The graph shows a proportional relationship between oats (x - axis) and almonds (y - axis). For a proportional relationship (y = mx), where (m) is the constant of proportionality.

Step2: Find the value of (k)

When (x = 1), we can find the value of (y) (which is (k)) by looking at the graph. If we assume that the line passes through ((0,0)) (since it's a proportional relationship) and another point, say ((2,50)). The slope (m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{50-0}{2 - 0}=25). Using the equation (y=mx), when (x = 1), (y=k = 25\times1=25)

Step3: Explain the meaning of (k)

In the context of the problem, (x) represents the number of cups of oats and (y) represents the grams of almonds. The point ((1,k)) means that for (1) cup of oats ((x = 1)), there are (k = 25) grams of almonds. So (k) is the number of grams of almonds per cup of oats.

Answer:

(k = 25). It means that there are 25 grams of almonds per 1 cup of oats in the granola mix.