A magician charges $50.00 for a visit and an additional $7.50 for each hour he performs. The function rule C = 7.50h + 50.00 describes the relationship between the number of hours h and the total cost of the visit C. If the magician will only visit a maximum of 8 hours, what is a reasonable graph of the function rule?
Here is a reasonable graph of the function rule:
The x-axis represents the number of hours h, ranging from 0 to 8, and the y-axis represents the total cost C, ranging from $50.00 to $110.00.
The graph starts at the point (0, 50), indicating that if the magician does not perform any hours, the cost is $50.00.
The graph then increases by $7.50 for every hour performed. For example, at 1 hour, the cost is $57.50, at 2 hours, the cost is $65.00, and so on. This slope is represented by a line with a positive slope.
The graph has a maximum at (8, 110), indicating that the magician will not perform more than 8 hours. After 8 hours, the cost remains constant at $110.00. This is represented by a horizontal line from (8, 110) to the right side of the graph.
Overall, the graph is a diagonal line that starts at (0, 50) and increases at a steady rate until reaching the maximum at (8, 110).