Question

1. use the graph below to complete the table and answer the following questions.

of hours

a. k =

b. what does the point (1, 3) represent in the relationship?

Explanation:

Step1: Identify the relationship type

The graph appears to be a proportional relationship (a straight - line through the origin). For a proportional relationship $y = kx$, where $k$ is the constant of proportionality. We can find $k$ using a point on the line.

Step2: Select a point and calculate $k$

Let's use the point $(1,3)$. Substitute $x = 1$ and $y = 3$ into $y=kx$. Then $3=k\times1$, so $k = 3$.

Step3: Interpret the point $(1,3)$

The $x$ - axis represents the number of hours and the $y$ - axis represents the number of miles walked. So the point $(1,3)$ means that in 1 hour, 3 miles are walked.

Answer:

a. $k = 3$
b. In 1 hour, 3 miles are walked.