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The line plot shows the weights of meat brought at a grocery store. Which conclusions about the line plot are true? Select all that apply.

Weights of meat

5/8 6/8 7/8 1 1 1/8 1 2/8 1 3/8
pounds

The difference between the greatest and ;est weights of packages is 1/2 pounds.

1/4 of the packages weigh 5/8 pounds.

6 different packages of meat were purchased in total each package with a different weight.

The number of packages that weigh 1 1/8 pounds is 3 times the number that weighs 3/4 pounds.

All of the packages weigh more than 1/2 pounds.

1 answer

To analyze the conclusions, we'll need to closely examine the information presented in the line plot regarding the weights of the meat packages. Let's review each statement one by one to see which conclusions can be deemed true based on the provided details.

  1. The difference between the greatest and least weights of packages is 1/2 pounds.

    • To determine if this statement is true, we need to identify the maximum and minimum weights from the plot. If the maximum weight is 1 3/8 pounds and the minimum weight is 5/8 pounds, the difference is:
      • 1 3/8 - 5/8 = (1.375 - 0.625) = 0.75 pounds (which is 3/4, not 1/2).
    • Therefore, this statement is false.

  2. 1/4 of the packages weigh 5/8 pounds.

    • We can't evaluate this statement accurately without the specific number of packages or their individual weights from the line plot. If there are, e.g., 4 packages total and 1 weighs 5/8 pounds, then it's true; if not, it would be false.
    • As we don't have enough information, we'll classify this conclusion as undetermined for now.

  3. 6 different packages of meat were purchased in total; each package with a different weight.

    • This can also only be confirmed with the actual number of entries in the plot. If there are indeed 6 unique weights and 6 packages, this is true; if weights are repeated, it's false.
    • Therefore, this statement is undetermined without visual confirmation of the plot.

  4. The number of packages that weigh 1 1/8 pounds is 3 times the number that weighs 3/4 pounds.

    • Again, we need specific numbers from the plot. If 1 1/8 pounds appears 3 times, and 3/4 pounds appears once, then this is true.
    • This is also undetermined without additional information.

  5. All of the packages weigh more than 1/2 pounds.

    • Since 5/8 pounds is already above 1/2 pounds, and if all other weights listed are also above 1/2 (assuming they follow the sequence stated), this can generally be considered true.

In conclusion, without specific numbers from the line plot:

  • Conclusions 1, 2, 3, and 4 are undetermined or false.
  • Conclusion 5 is true.

To provide a comprehensive review, please ensure to verify these assumptions or details with the specific line plot data to confirm their accuracy.