To find a linear equation that models the graph representing the total cost for Quinn's family to enter the camping site, we need to select two points that will provide enough information to determine the slope and y-intercept of the line.
In this scenario, we can consider the meaning of the points provided:
- (5,60) and (8,80): These points indicate that 5 family members incur a cost of $60 and 8 family members incur a cost of $80.
- (0,25) and (2,40): These points suggest a starting cost (perhaps the parking fee) at 0 family members which is $25 and at 2 family members, the cost is $40.
- (0,25) and (5,60): This pair suggests again the starting cost of $25 with 0 family members and $60 cost with 5 family members.
- (3,45) and (5,60): These points reflect a cost of $45 with 3 family members and a cost of $60 with 5 family members.
To model the total cost, it makes sense to choose a pair of points that are representative of how costs change with an increase in the number of family members while including the parking fee. The point (0,25) indicates a fixed cost (the parking fee) before any tickets are purchased, making it essential to determining the linear equation.
Considering these factors, the best choice would be (0,25) and (5,60), as they provide a point for when no family members are present (indicating the parking fee), and a point that gives a cost with added family members (5). This combination allows deriving the slope and y-intercept effectively.
Thus, the answer is: (0,25) and (5,60).
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