Question
Meg bought a season pass at Elk Mountain Ski Resort to access the ski slopes, and she plans to rent her equipment from the resort each day she skis. The total amount Meg will pay by the end of the season depends on how many days she skis. This situation can be modeled as a linear relationship. What does the y-intercept of the line tell you about the situation?
Answers
GPT-4o mini
In the context of the situation, where Meg bought a season pass to Elk Mountain Ski Resort and will rent equipment for each day she skis, the y-intercept of the linear relationship represents the fixed cost that Meg incurs regardless of how many days she skis.
Specifically, the y-intercept corresponds to the cost of the season pass itself, which Meg pays upfront. This means that even if Meg doesn't ski at all (0 days), she will have already spent this amount. In a graph where the x-axis represents the number of days skied and the y-axis represents the total cost, the y-intercept indicates the initial cost incurred before any daily rental fees are added as she skis more days. Thus, it highlights the commitment or investment Meg has made by purchasing the season pass, independent of her skiing activities.
Specifically, the y-intercept corresponds to the cost of the season pass itself, which Meg pays upfront. This means that even if Meg doesn't ski at all (0 days), she will have already spent this amount. In a graph where the x-axis represents the number of days skied and the y-axis represents the total cost, the y-intercept indicates the initial cost incurred before any daily rental fees are added as she skis more days. Thus, it highlights the commitment or investment Meg has made by purchasing the season pass, independent of her skiing activities.