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heather counted the number of cartoons on six television stations satur…

Question

heather counted the number of cartoons on six television stations saturday morning. the table below shows her counts. which scatter plot matches the table? television station 1 2 3 4 5 6 cartoon count 8 5 10 6 8 10 (four scatter plots labeled x, w, z, y are shown, each with x - axis as television station (1 - 6) and y - axis as cartoon count (2 - 14) for saturday morning. options: a. x, b. z, c. y, d. w)

Explanation:

Step1: List data points

The pairs from the table are:
$(1, 8), (2, 5), (3, 10), (4, 6), (5, 8), (6, 10)$

Step2: Match to scatter plots

Check each plot against the points:

  • Plot X: Points are $(1,2), (2,6), (3,8), (4,9), (5,10), (6,12)$ → does not match.
  • Plot Z: Points are $(1,10), (2,8), (3,12), (4,6), (5,9), (6,7)$ → does not match.
  • Plot Y: Points are $(1,14), (2,8), (3,12), (4,6), (5,4), (6,2)$ → does not match.
  • Plot W: Points are $(1,8), (2,5), (3,10), (4,6), (5,8), (6,10)$ → matches the table data.

Answer:

D. W