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the table below indicates the variations in circumference of a circle w…

Question

the table below indicates the variations in circumference of a circle with changes in the diameter. draw a scatter - plot for the data.

diameter (cm)12345
circumference (cm)3.1416.2539.42512.56715.708

a.
c.

Explanation:

Step1: Identify data points

We have (1, 3.141), (2, 6.253), (3, 9.425), (4, 12.567), (5, 15.708)

Step2: Check x - coordinates

Locate x - values (diameter) on x - axis.

Step3: Check y - coordinates

Locate corresponding y - values (circumference) on y - axis for each x.

Step4: Match with scatter - plot

Verify if points are placed correctly in given scatter - plot options.

Answer:

We need to plot the points where the x - coordinate is the diameter and the y - coordinate is the circumference. The points to be plotted are (1, 3.141), (2, 6.253), (3, 9.425), (4, 12.567), (5, 15.708). Looking at the given scatter - plot options, we match the points to the correct plot.
The correct scatter - plot is the one where the points are placed at the appropriate (x,y) positions corresponding to the diameter - circumference pairs. Without seeing all the options clearly labeled, we assume the following steps to check:

  1. For the point (1, 3.141), we find the x = 1 on the x - axis (diameter axis) and then go up to approximately y = 3.141 on the y - axis (circumference axis) and check if a point is placed there in the scatter - plot.
  2. For the point (2, 6.253), we find x = 2 on the x - axis and go up to approximately y = 6.253 on the y - axis and check for the point.
  3. For the point (3, 9.425), we find x = 3 on the x - axis and go up to approximately y = 9.425 on the y - axis and check for the point.
  4. For the point (4, 12.567), we find x = 4 on the x - axis and go up to approximately y = 12.567 on the y - axis and check for the point.
  5. For the point (5, 15.708), we find x = 5 on the x - axis and go up to approximately y = 15.708 on the y - axis and check for the point.

Based on these checks, we can determine the correct scatter - plot. Since no specific options are named as correct or incorrect in the problem statement, we assume the user will perform the above - mentioned point - checking process on the given scatter - plot options.