The lesson length (in minutes) and the cost (in dollars) of piano lessons given by nine different piano instructors are shown in the table below.

Question

The table shows 30 minutes lesson costs 45 dollars by the first instructor, 30 minutes lesson costs 25 dollars by the second instructor, 45 minutes lesson costs 60 dollars by the third instructor, 20 minutes lesson costs 35 dollars by the fourth instructor, 60 minutes lesson costs 50 dollars by the fifth instructor, 50 minutes lesson costs 55 dollars by the sixth instructor, 60 minutes lesson costs 75 dollars by the seventh instructor, 30 minutes lesson costs 50 dollars by the eighth instructor, and 60 minutes lesson costs 80 dollars by the ninth instructor.

Which of the following scatter plots correctly displays this data??

Answer 1

To determine which scatter plot accurately represents the data given in the table, we need to organize the information provided into a list of coordinates where the x-coordinate represents the lesson length in minutes and the y-coordinate represents the cost in dollars.

Here’s the summarized data from the instructors provided:

1. Instructor 1: (30, 45)
2. Instructor 2: (30, 25)
3. Instructor 3: (45, 60)
4. Instructor 4: (20, 35)
5. Instructor 5: (60, 50)
6. Instructor 6: (50, 55)
7. Instructor 7: (60, 75)
8. Instructor 8: (30, 50)
9. Instructor 9: (60, 80)

Now, we have nine points:

1. (30, 45)
2. (30, 25)
3. (45, 60)
4. (20, 35)
5. (60, 50)
6. (50, 55)
7. (60, 75)
8. (30, 50)
9. (60, 80)

To find the correct scatter plot, look for a plot that includes points located at these coordinates. Here are the steps to identify the correct plot:

1. Check for points at x = 20, 30, 45, 50, and 60 on the x-axis.
2. Check for corresponding y-values of 25, 35, 45, 50, 55, 60, 75, and 80 for these x-values.
3. Make sure to note that multiple instructors can have the same lesson length (for example, three instructors at x = 30 minutes).

Once you have the plots available, compare them against the coordinates listed. The correct scatter plot will show points exactly at these coordinate pairs.

If you provide me with the options for the scatter plots, I can help you identify the correct one!