Question

1 the graph shows the proportional relationship between grams of protein and cups of milk. a. what is the constant of proportionality for the relationship between grams of protein and cups of milk? b. what does the point (0, 0) mean in this situation? protein (grams) graph with x - axis labeled milk (cups) from 0 to 8, y - axis labeled protein (grams) from 0 to 32, and a line through (0,0) and other points

Explanation:

Part a

Step1: Recall constant of proportionality formula

For a proportional relationship \( y = kx \), the constant of proportionality \( k=\frac{y}{x} \), where \( y \) is grams of protein and \( x \) is cups of milk.

Step2: Identify a point on the graph

From the graph, let's take a point. For example, when \( x = 8 \) cups of milk, \( y = 32 \) grams of protein (assuming the line passes through (8,32) as per the grid).

Step3: Calculate the constant of proportionality

Using \( k=\frac{y}{x} \), substitute \( x = 8 \) and \( y = 32 \). So \( k=\frac{32}{8}=4 \).

In the context of the relationship between grams of protein and cups of milk, the point \((0, 0)\) means when there are 0 cups of milk (the \( x \)-value, representing the amount of milk), there are 0 grams of protein (the \( y \)-value, representing the amount of protein). So 0 cups of milk contain 0 grams of protein.

Answer:

The constant of proportionality is 4.

Part b