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

(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)
left parenthesis 5 comma 60 right parenthesis and left parenthesis 8 comma 80 right parenthesis

(3,45)
and (5,60)

Answer 1

To determine which points can be used to find the linear equation that models the total cost based on the number of campers, we need to identify two points on the graph that defines a straight line. The lines will typically go through points that clearly represent a relationship between the number of campers and the total cost.

In this case, we should look for points that represent the initial cost (y-intercept, where the number of campers is zero) and one or more other points on the line.

The following options are given:

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

To find points:

• (0, 25) is particularly critical because it indicates that there is a one-time fee of 25 dollars when there are 0 campers.
• (5, 60) indicates the cost when there are 5 campers, allowing us to see how cost scales with the number of campers.

From the above options, (0, 25) and (5, 60) would give us a straight line to find the slope and create an equation representing the relationship effectively.

So, the best choice for finding a linear equation that models the graph is:

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