Question

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

a. k =

b. what does the point (1, 10) represent in the relationship?

Explanation:

Step1: Identify the relationship type

The graph shows a proportional relationship between the number of tickets (x - axis) and the total cost (y - axis). In a proportional relationship, the equation is $y = kx$, where $k$ is the constant of proportionality.

Step2: Find the value of k

We can use the point $(1,10)$ from the graph. Substituting $x = 1$ and $y=10$ into $y = kx$, we get $10=k\times1$, so $k = 10$.

Step3: Interpret the point (1, 10)

The x - value represents the number of tickets and the y - value represents the total cost. So the point $(1,10)$ means that 1 ticket costs 10 dollars.

Answer:

a. $k = 10$
b. 1 ticket costs 10 dollars.