Final answer:
The cost to go to Hogwarts, the rate of cost per month, and the number of months to reach 700 students can be determined from the graph.
Step-by-step explanation:
Hogwarts Cost Analysis
1. The cost (in dollars) to go to Hogwarts when they first opened (month 0) is represented by the y-intercept of the graph, which is the value at the point where the line crosses the y-axis.
In this case, the y-intercept represents the initial cost of attending Hogwarts.
2. The rate of the cost to go to Hogwarts per month is represented by the slope of the graph, which is the rate at which the cost increases or decreases over time.
3. The feature of the graph that tells us how many months it would take to get 700 students to attend Hogwarts is the x-intercept, which is the value at the point where the line crosses the x-axis.
In this case, the x-intercept represents the number of months it takes to reach 700 students.