Royce is taking violin lessons. The instructor charges an initial fee an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructors hourly fee?

$15 per hour, i know this because i just took the test and it said this was the correct answer.

Unfortunately, I do not have access to a graph to assist you. However, if you provide me with the specific values from the graph, I can help you calculate the instructor's hourly fee.

To determine the instructor's hourly fee, we need to gather some information from the graph. Unfortunately, I don't have the capability to view or interpret visual content like graphs. However, I can guide you through the process of finding the instructor's hourly fee.

Here's what we can do to find the hourly fee:

1. Look for a data point on the graph that includes both the length of the lesson and the corresponding amount Royce pays. You might see coordinates like (length of lesson, amount paid) on the graph.

2. Once you find such a data point, note the length of the lesson and the amount Royce pays.

3. Since the instructor charges an initial fee plus an hourly fee, we can assume that the initial fee is a fixed cost regardless of the lesson length.

4. Subtract the initial fee from the total amount Royce paid for the lesson. This will give you the amount that corresponds to the hourly fee.

5. Divide this amount by the length of the lesson to calculate the hourly fee. This can be done by dividing the amount by the length of the lesson in hours.

Once you have followed these steps using the information from the graph, you will be able to determine the instructor's hourly fee.

it is the slope of the line.