Rodney was able to collect some data on student enrollment in the dojos in his hometown. What is the midpoint of the line segment that connects the endpoints of the data?

Homework Help: Questions and Answers: Rodney was able to collect some data on student enrollment in the dojos in his hometown. What is the midpoint of the line segment that connects the endpoints of the data?

(Year since 2000, Total Enrollment)
(2, 459)
(3, 512)
(10, 1257)
(13, 1432)
(14, 1701)

Answer:

To solve this problem, we need to find the midpoint of the line segment that connects the endpoints of the data. The endpoints of the data are the first and last entries in the table.

Identify the coordinates of the endpoints.

The coordinates represent the “Years since 2000” and “Total Enrollment.”

• The first endpoint is (2, 459), which corresponds to the first row.
• The last endpoint is (14, 1701), which corresponds to the last row.

Use the midpoint formula.

The formula to find the midpoint between two points (x1, y1) and (x2, y2) is:

((x1+x2)/2, (y1+y2)/2)

Plug in the values.

Midpoint =((2+14)/2, (459+1701)/2)
= (16/2, 2160/2)
= (8, 1080)

Final Answer:

Based on the above analysis, the correct answer is:

The midpoint of the line segment is (8, 1080).

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