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?
Since the function rule C = 7.50h + 50.00 states that the total cost of the visit C depends on the number of hours h, and the cost increases by $7.50 for each additional hour, a reasonable graph of the function rule would show a straight line with a positive slope.
The y-axis represents the total cost of the visit C and the x-axis represents the number of hours h. The line would start at the point (0, 50) since the magician charges a base fee of $50.00 for a visit. The slope, represented by the coefficient 7.50, indicates that the cost increases by $7.50 for each additional hour.
Since the magician will only visit a maximum of 8 hours, the graph should stop at that point.
The graph should look like this:
