Using linear function concepts, it is found that graph A is the one that best represents the relationship.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, there is a fixed fee of $10, plus a fee of $2 per movie, hence m = 2, b = 10, and the function is given by:
y = 2x + 10.
Due to the y-intercept of y = 10, that is, when x = 0, y = 10, graph A is the one that best represents the relationship.
More can be learned about linear function concepts at https://brainly.com/question/24808124
