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.

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

Which of the following scatter plots correctly displays this data?

(1 point)
Responses

A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (25, 30), (35, 20), (45, 30), (50, 30), (50, 60), (55, 50), (60, 45), (75, 60), and (80, 60).
Image with alt text: A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (25, 30), (35, 20), (45, 30), (50, 30), (50, 60), (55, 50), (60, 45), (75, 60), and (80, 60).

A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (20, 35), (25, 30), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), and (60, 80).
Image with alt text: A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (20, 35), (25, 30), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), and (60, 80).

A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (20, 35), (30, 25), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), and (60, 80).
Image with alt text: A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (20, 35), (30, 25), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), and (60, 80).

A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (20, 25), (30, 35), (30, 45), (30, 50), (45, 50), (50, 55), (60, 60), (60, 75), and (60, 80).
Image with alt text: A scatter plot on graph titled 'piano lessons' showing 'lesson length in minutes' from 0 to 80 along the x-axis and 'lesson cost in dollars' from 0 to 80 along the y-axis, is shown with 9 data points at (20, 25), (30, 35), (30, 45), (30, 50), (45, 50), (50, 55), (60, 60), (60, 75), and (60, 80).
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1 answer

To find the correct scatter plot, we first need to extract the data points corresponding to each instructor's lesson length and cost. The provided data can be summarized as follows:

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

Now let's organize these into (x, y) format (where x = lesson length and y = lesson cost):

  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)

Now we can match this list with the options given for the scatter plots:

  • The first option has points (25, 30), (35, 20), (45, 30), (50, 30), (50, 60), (55, 50), (60, 45), (75, 60), (80, 60) - Incorrect.
  • The second option has points (20, 35), (25, 30), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), (60, 80) - Incorrect.
  • The third option has points (20, 35), (30, 25), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), (60, 80) - Incorrect.
  • The fourth option has points (20, 25), (30, 35), (30, 45), (30, 50), (45, 50), (50, 55), (60, 60), (60, 75), (60, 80) - Incorrect.

None of the given scatter plots correctly display all the given data points based on the lesson lengths and costs.

If I were to summarize which points should be included in the scatter plot, the accurate data points would be:

  • (30, 45)
  • (30, 25)
  • (45, 60)
  • (20, 35)
  • (60, 50)
  • (50, 55)
  • (60, 75)
  • (30, 50)
  • (60, 80)

You may want to reevaluate the scatter plots based on this information, as the correct plot is not listed in the provided options.