Question

Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays is based on the length of his lesson is shown on the graph below. What is the instructor's hourly fee?A graph titled Cost of Royce's Violin lesson has length of lesson (hours) on the x-axis and cost (dollars) on the y-axis. A line goes through points (2, 52), (3, 67), (4, 82) and (5, 97).$15 per hour

Answer 1

Answer: The instructor's hourly fee is

Explanation

As we are told the graph is a line, we can get the slope of the line with the following equation:

$m=\frac{y_2-y_1}{x_2-x_1}$

where (x1, y1) and (x2, y2) are given points. In our case, the slope would represent the hourly fee. Then, if we choose any two points, for example, (3, 67) and (5, 97), we can replace them in the formula and find the hourly fee:

$m=\frac{97-67}{5-3}$$m=\frac{30}{2}$$m=15$