Let's break down the responses for each part of your question based on the provided answers.
a. The constant of proportionality is:
1/5
This indicates that for every increase of 1 unit in x, there is an increase of 1/5 unit in y, which supports a linear relationship.
b. Write an equation that represents the linear graph:
y = 1/5 x
This equation suggests that y is directly proportional to x with a constant ratio of 1/5, which agrees with our constant of proportionality.
c. This is a proportional relationship because the graph shows:
a linear relationship
This statement emphasizes that the relationship between x and y is linear and that it passes through the origin, satisfying the conditions for proportionality.
To summarize:
- a: 1/5
- b: y = 1/5 x
- c: a linear relationship
If you have more specific data or context for the questions, feel free to share for more tailored responses!