To determine which points can be used to find the linear equation that models the graph, we need to consider the characteristics of the situation described: a one-time parking fee and a cost per camper.
- A point like \((0, 25)\) represents the total cost when no campers are present, which corresponds to the one-time parking fee.
- Any other point will represent additional campers added to the total cost.
The points:
- \((3, 45)\) means 3 campers cost $45 in total, which can be derived from the initial fee plus the cost per camper.
- \((5, 60)\) means 5 campers cost $60 in total.
- \((8, 80)\) means 8 campers cost $80 in total.
- \((2, 40)\) means 2 campers cost $40 in total.
The point \((0, 25)\) is particularly important because it tells you the fixed cost (the parking fee). Using that along with another point (which represents the cost with a certain number of campers) enables you to determine both the fixed cost and the cost per camper.
Thus, the best option for finding the linear equation that represents the total cost is:
\((0, 25)\) and \((5, 60)\)
This combination provides a clear fixed fee (25) and a cost associated with multiple campers.