Use the image to answer the question.

Question

A line graphed in the first quadrant of a coordinate plane shows number of campers versus total cost in dollars.

Quinn’s family is going camping. To get into a camping site, his family must pay a one-time parking fee and purchase a ticket for each family member. The graph shows the total cost Quinn’s family must pay to enter. Which of the following points can be used to find the linear equation that models this graph?

(1 point)
Responses

(3,45)
and (5,60)
left parenthesis 3 comma 45 right parenthesis and left parenthesis 5 comma 60 right parenthesis

(0,25)
and (2,40)
left parenthesis 0 comma 25 right parenthesis and left parenthesis 2 comma 40 right parenthesis

(0,25)
and (5,60)
left parenthesis 0 comma 25 right parenthesis and left parenthesis 5 comma 60 right parenthesis

(5,60)
and (8,80)

Answer 1

To find the linear equation that models the graph representing the total cost for Quinn's family to go camping, we need to identify points that help determine both the slope and the y-intercept. The y-intercept (the cost when no tickets are purchased) is especially important in these types of problems.

The given options are:

1. (3, 45) and (5, 60)
2. (0, 25) and (2, 40)
3. (0, 25) and (5, 60)
4. (5, 60) and (8, 80)

Among these options, the point (0, 25) represents the total cost when no tickets are purchased, which indicates the one-time parking fee. This makes it an essential point for finding the y-intercept of the linear equation.

Therefore, the best option that allows for finding the linear equation is:

(0, 25) and (5, 60).

This choice provides both the y-intercept and another point that can help determine the slope of the line, allowing for the creation of a linear equation.