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.
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?
a
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).
b
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).
c
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).
d
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).
is that true
Yes, it is true that option D is the correct scatter plot that displays the given data correctly.
To find out which of the scatter plots correctly displays the given data, we need to analyze the information provided.
The table gives information about the lesson length in minutes and the cost in dollars for piano lessons given by nine different instructors. We have the following data points:
Instructor 1: Lesson length = 30 minutes, Lesson cost = $45
Instructor 2: Lesson length = 30 minutes, Lesson cost = $25
Instructor 3: Lesson length = 45 minutes, Lesson cost = $60
Instructor 4: Lesson length = 20 minutes, Lesson cost = $35
Instructor 5: Lesson length = 60 minutes, Lesson cost = $50
Instructor 6: Lesson length = 50 minutes, Lesson cost = $55
Instructor 7: Lesson length = 60 minutes, Lesson cost = $75
Instructor 8: Lesson length = 30 minutes, Lesson cost = $50
Instructor 9: Lesson length = 60 minutes, Lesson cost = $80
Now, let's examine each option provided:
a. (20, 25), (30, 35), (30, 45), (30, 50), (45, 50), (50, 55), (60, 60), (60, 75), (60, 80)
b. (25, 30), (35, 20), (45, 30), (50, 30), (50, 60), (55, 50), (60, 45), (75, 60), (80, 60)
c. (20, 35), (30, 25), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), (60, 80)
d. (20, 35), (25, 30), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), (60, 80)
To create a scatter plot, we plot the lesson length on the x-axis and the lesson cost on the y-axis.
After analyzing the options, we can see that option d matches the given data points:
(20, 35), (25, 30), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), (60, 80)
Therefore, the correct scatter plot is option d.